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Simplifying 9 + -3(x + 5) = 8 + -2(x + 6) Reorder the terms: 9 + -3(5 + x) = 8 + -2(x + 6) 9 + (5 * -3 + x * -3) = 8 + -2(x + 6) 9 + (-15 + -3x) = 8 + -2(x + 6) Combine like terms: 9 + -15 = -6 -6 + -3x = 8 + -2(x + 6) Reorder the terms: -6 + -3x = 8 + -2(6 + x) -6 + -3x = 8 + (6 * -2 + x * -2) -6 + -3x = 8 + (-12 + -2x) Combine like terms: 8 + -12 = -4 -6 + -3x = -4 + -2x Solving -6 + -3x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -3x + 2x = -4 + -2x + 2x Combine like terms: -3x + 2x = -1x -6 + -1x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -1x = -4 + 0 -6 + -1x = -4 Add '6' to each side of the equation. -6 + 6 + -1x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -4 + 6 -1x = -4 + 6 Combine like terms: -4 + 6 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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