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Simplifying 4(x + 8) = 3(x + -9) Reorder the terms: 4(8 + x) = 3(x + -9) (8 * 4 + x * 4) = 3(x + -9) (32 + 4x) = 3(x + -9) Reorder the terms: 32 + 4x = 3(-9 + x) 32 + 4x = (-9 * 3 + x * 3) 32 + 4x = (-27 + 3x) Solving 32 + 4x = -27 + 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. 32 + 4x + -3x = -27 + 3x + -3x Combine like terms: 4x + -3x = 1x 32 + 1x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 1x = -27 + 0 32 + 1x = -27 Add '-32' to each side of the equation. 32 + -32 + 1x = -27 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -27 + -32 1x = -27 + -32 Combine like terms: -27 + -32 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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