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Simplifying -1(9x + -4) + -1(3x + -7) + 5 = -7(x + -9) + -1(8x + 4) + 9 Reorder the terms: -1(-4 + 9x) + -1(3x + -7) + 5 = -7(x + -9) + -1(8x + 4) + 9 (-4 * -1 + 9x * -1) + -1(3x + -7) + 5 = -7(x + -9) + -1(8x + 4) + 9 (4 + -9x) + -1(3x + -7) + 5 = -7(x + -9) + -1(8x + 4) + 9 Reorder the terms: 4 + -9x + -1(-7 + 3x) + 5 = -7(x + -9) + -1(8x + 4) + 9 4 + -9x + (-7 * -1 + 3x * -1) + 5 = -7(x + -9) + -1(8x + 4) + 9 4 + -9x + (7 + -3x) + 5 = -7(x + -9) + -1(8x + 4) + 9 Reorder the terms: 4 + 7 + 5 + -9x + -3x = -7(x + -9) + -1(8x + 4) + 9 Combine like terms: 4 + 7 = 11 11 + 5 + -9x + -3x = -7(x + -9) + -1(8x + 4) + 9 Combine like terms: 11 + 5 = 16 16 + -9x + -3x = -7(x + -9) + -1(8x + 4) + 9 Combine like terms: -9x + -3x = -12x 16 + -12x = -7(x + -9) + -1(8x + 4) + 9 Reorder the terms: 16 + -12x = -7(-9 + x) + -1(8x + 4) + 9 16 + -12x = (-9 * -7 + x * -7) + -1(8x + 4) + 9 16 + -12x = (63 + -7x) + -1(8x + 4) + 9 Reorder the terms: 16 + -12x = 63 + -7x + -1(4 + 8x) + 9 16 + -12x = 63 + -7x + (4 * -1 + 8x * -1) + 9 16 + -12x = 63 + -7x + (-4 + -8x) + 9 Reorder the terms: 16 + -12x = 63 + -4 + 9 + -7x + -8x Combine like terms: 63 + -4 = 59 16 + -12x = 59 + 9 + -7x + -8x Combine like terms: 59 + 9 = 68 16 + -12x = 68 + -7x + -8x Combine like terms: -7x + -8x = -15x 16 + -12x = 68 + -15x Solving 16 + -12x = 68 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16 + -12x + 15x = 68 + -15x + 15x Combine like terms: -12x + 15x = 3x 16 + 3x = 68 + -15x + 15x Combine like terms: -15x + 15x = 0 16 + 3x = 68 + 0 16 + 3x = 68 Add '-16' to each side of the equation. 16 + -16 + 3x = 68 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 68 + -16 3x = 68 + -16 Combine like terms: 68 + -16 = 52 3x = 52 Divide each side by '3'. x = 17.33333333 Simplifying x = 17.33333333
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