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Simplifying 3(x + 18) + -4(x + -18) = 5x Reorder the terms: 3(18 + x) + -4(x + -18) = 5x (18 * 3 + x * 3) + -4(x + -18) = 5x (54 + 3x) + -4(x + -18) = 5x Reorder the terms: 54 + 3x + -4(-18 + x) = 5x 54 + 3x + (-18 * -4 + x * -4) = 5x 54 + 3x + (72 + -4x) = 5x Reorder the terms: 54 + 72 + 3x + -4x = 5x Combine like terms: 54 + 72 = 126 126 + 3x + -4x = 5x Combine like terms: 3x + -4x = -1x 126 + -1x = 5x Solving 126 + -1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 126 + -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x 126 + -6x = 5x + -5x Combine like terms: 5x + -5x = 0 126 + -6x = 0 Add '-126' to each side of the equation. 126 + -126 + -6x = 0 + -126 Combine like terms: 126 + -126 = 0 0 + -6x = 0 + -126 -6x = 0 + -126 Combine like terms: 0 + -126 = -126 -6x = -126 Divide each side by '-6'. x = 21 Simplifying x = 21
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