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Simplifying -1(6x + -8) + -1(2x + -4) + 9 = -5(x + -6) + -1(7x + 4) + 9 Reorder the terms: -1(-8 + 6x) + -1(2x + -4) + 9 = -5(x + -6) + -1(7x + 4) + 9 (-8 * -1 + 6x * -1) + -1(2x + -4) + 9 = -5(x + -6) + -1(7x + 4) + 9 (8 + -6x) + -1(2x + -4) + 9 = -5(x + -6) + -1(7x + 4) + 9 Reorder the terms: 8 + -6x + -1(-4 + 2x) + 9 = -5(x + -6) + -1(7x + 4) + 9 8 + -6x + (-4 * -1 + 2x * -1) + 9 = -5(x + -6) + -1(7x + 4) + 9 8 + -6x + (4 + -2x) + 9 = -5(x + -6) + -1(7x + 4) + 9 Reorder the terms: 8 + 4 + 9 + -6x + -2x = -5(x + -6) + -1(7x + 4) + 9 Combine like terms: 8 + 4 = 12 12 + 9 + -6x + -2x = -5(x + -6) + -1(7x + 4) + 9 Combine like terms: 12 + 9 = 21 21 + -6x + -2x = -5(x + -6) + -1(7x + 4) + 9 Combine like terms: -6x + -2x = -8x 21 + -8x = -5(x + -6) + -1(7x + 4) + 9 Reorder the terms: 21 + -8x = -5(-6 + x) + -1(7x + 4) + 9 21 + -8x = (-6 * -5 + x * -5) + -1(7x + 4) + 9 21 + -8x = (30 + -5x) + -1(7x + 4) + 9 Reorder the terms: 21 + -8x = 30 + -5x + -1(4 + 7x) + 9 21 + -8x = 30 + -5x + (4 * -1 + 7x * -1) + 9 21 + -8x = 30 + -5x + (-4 + -7x) + 9 Reorder the terms: 21 + -8x = 30 + -4 + 9 + -5x + -7x Combine like terms: 30 + -4 = 26 21 + -8x = 26 + 9 + -5x + -7x Combine like terms: 26 + 9 = 35 21 + -8x = 35 + -5x + -7x Combine like terms: -5x + -7x = -12x 21 + -8x = 35 + -12x Solving 21 + -8x = 35 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 21 + -8x + 12x = 35 + -12x + 12x Combine like terms: -8x + 12x = 4x 21 + 4x = 35 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 4x = 35 + 0 21 + 4x = 35 Add '-21' to each side of the equation. 21 + -21 + 4x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 35 + -21 4x = 35 + -21 Combine like terms: 35 + -21 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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