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Simplifying 8 + -2(x + 5) = 9 + -3(x + 4) Reorder the terms: 8 + -2(5 + x) = 9 + -3(x + 4) 8 + (5 * -2 + x * -2) = 9 + -3(x + 4) 8 + (-10 + -2x) = 9 + -3(x + 4) Combine like terms: 8 + -10 = -2 -2 + -2x = 9 + -3(x + 4) Reorder the terms: -2 + -2x = 9 + -3(4 + x) -2 + -2x = 9 + (4 * -3 + x * -3) -2 + -2x = 9 + (-12 + -3x) Combine like terms: 9 + -12 = -3 -2 + -2x = -3 + -3x Solving -2 + -2x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x -2 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 1x = -3 + 0 -2 + 1x = -3 Add '2' to each side of the equation. -2 + 2 + 1x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -3 + 2 1x = -3 + 2 Combine like terms: -3 + 2 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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