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Simplifying 3(x + 8) + -3(x + -8) = 4(x + 8) + -3x Reorder the terms: 3(8 + x) + -3(x + -8) = 4(x + 8) + -3x (8 * 3 + x * 3) + -3(x + -8) = 4(x + 8) + -3x (24 + 3x) + -3(x + -8) = 4(x + 8) + -3x Reorder the terms: 24 + 3x + -3(-8 + x) = 4(x + 8) + -3x 24 + 3x + (-8 * -3 + x * -3) = 4(x + 8) + -3x 24 + 3x + (24 + -3x) = 4(x + 8) + -3x Reorder the terms: 24 + 24 + 3x + -3x = 4(x + 8) + -3x Combine like terms: 24 + 24 = 48 48 + 3x + -3x = 4(x + 8) + -3x Combine like terms: 3x + -3x = 0 48 + 0 = 4(x + 8) + -3x 48 = 4(x + 8) + -3x Reorder the terms: 48 = 4(8 + x) + -3x 48 = (8 * 4 + x * 4) + -3x 48 = (32 + 4x) + -3x Combine like terms: 4x + -3x = 1x 48 = 32 + 1x Solving 48 = 32 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 48 + -1x = 32 + 1x + -1x Combine like terms: 1x + -1x = 0 48 + -1x = 32 + 0 48 + -1x = 32 Add '-48' to each side of the equation. 48 + -48 + -1x = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 32 + -48 -1x = 32 + -48 Combine like terms: 32 + -48 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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