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Simplifying 8 + -2(x + -6) + x = 9 + -1(4x + -3) + -1(5x) Reorder the terms: 8 + -2(-6 + x) + x = 9 + -1(4x + -3) + -1(5x) 8 + (-6 * -2 + x * -2) + x = 9 + -1(4x + -3) + -1(5x) 8 + (12 + -2x) + x = 9 + -1(4x + -3) + -1(5x) Combine like terms: 8 + 12 = 20 20 + -2x + x = 9 + -1(4x + -3) + -1(5x) Combine like terms: -2x + x = -1x 20 + -1x = 9 + -1(4x + -3) + -1(5x) Reorder the terms: 20 + -1x = 9 + -1(-3 + 4x) + -1(5x) 20 + -1x = 9 + (-3 * -1 + 4x * -1) + -1(5x) 20 + -1x = 9 + (3 + -4x) + -1(5x) Remove parenthesis around (5x) 20 + -1x = 9 + 3 + -4x + -1 * 5x Multiply -1 * 5 20 + -1x = 9 + 3 + -4x + -5x Combine like terms: 9 + 3 = 12 20 + -1x = 12 + -4x + -5x Combine like terms: -4x + -5x = -9x 20 + -1x = 12 + -9x Solving 20 + -1x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 20 + -1x + 9x = 12 + -9x + 9x Combine like terms: -1x + 9x = 8x 20 + 8x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 20 + 8x = 12 + 0 20 + 8x = 12 Add '-20' to each side of the equation. 20 + -20 + 8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 12 + -20 8x = 12 + -20 Combine like terms: 12 + -20 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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