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Simplifying -1(2x + -4) + -1(5x + -5) + 4 = -6(x + -7) + -1(8x + 2) + 4 Reorder the terms: -1(-4 + 2x) + -1(5x + -5) + 4 = -6(x + -7) + -1(8x + 2) + 4 (-4 * -1 + 2x * -1) + -1(5x + -5) + 4 = -6(x + -7) + -1(8x + 2) + 4 (4 + -2x) + -1(5x + -5) + 4 = -6(x + -7) + -1(8x + 2) + 4 Reorder the terms: 4 + -2x + -1(-5 + 5x) + 4 = -6(x + -7) + -1(8x + 2) + 4 4 + -2x + (-5 * -1 + 5x * -1) + 4 = -6(x + -7) + -1(8x + 2) + 4 4 + -2x + (5 + -5x) + 4 = -6(x + -7) + -1(8x + 2) + 4 Reorder the terms: 4 + 5 + 4 + -2x + -5x = -6(x + -7) + -1(8x + 2) + 4 Combine like terms: 4 + 5 = 9 9 + 4 + -2x + -5x = -6(x + -7) + -1(8x + 2) + 4 Combine like terms: 9 + 4 = 13 13 + -2x + -5x = -6(x + -7) + -1(8x + 2) + 4 Combine like terms: -2x + -5x = -7x 13 + -7x = -6(x + -7) + -1(8x + 2) + 4 Reorder the terms: 13 + -7x = -6(-7 + x) + -1(8x + 2) + 4 13 + -7x = (-7 * -6 + x * -6) + -1(8x + 2) + 4 13 + -7x = (42 + -6x) + -1(8x + 2) + 4 Reorder the terms: 13 + -7x = 42 + -6x + -1(2 + 8x) + 4 13 + -7x = 42 + -6x + (2 * -1 + 8x * -1) + 4 13 + -7x = 42 + -6x + (-2 + -8x) + 4 Reorder the terms: 13 + -7x = 42 + -2 + 4 + -6x + -8x Combine like terms: 42 + -2 = 40 13 + -7x = 40 + 4 + -6x + -8x Combine like terms: 40 + 4 = 44 13 + -7x = 44 + -6x + -8x Combine like terms: -6x + -8x = -14x 13 + -7x = 44 + -14x Solving 13 + -7x = 44 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 13 + -7x + 14x = 44 + -14x + 14x Combine like terms: -7x + 14x = 7x 13 + 7x = 44 + -14x + 14x Combine like terms: -14x + 14x = 0 13 + 7x = 44 + 0 13 + 7x = 44 Add '-13' to each side of the equation. 13 + -13 + 7x = 44 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 44 + -13 7x = 44 + -13 Combine like terms: 44 + -13 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
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