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Simplifying 3(x + 8) = 4(x + -3) Reorder the terms: 3(8 + x) = 4(x + -3) (8 * 3 + x * 3) = 4(x + -3) (24 + 3x) = 4(x + -3) Reorder the terms: 24 + 3x = 4(-3 + x) 24 + 3x = (-3 * 4 + x * 4) 24 + 3x = (-12 + 4x) Solving 24 + 3x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 3x + -4x = -12 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = -12 + 0 24 + -1x = -12 Add '-24' to each side of the equation. 24 + -24 + -1x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -12 + -24 -1x = -12 + -24 Combine like terms: -12 + -24 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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