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Simplifying 5x + -3(x + -4) = 3(x + -6) Reorder the terms: 5x + -3(-4 + x) = 3(x + -6) 5x + (-4 * -3 + x * -3) = 3(x + -6) 5x + (12 + -3x) = 3(x + -6) Reorder the terms: 12 + 5x + -3x = 3(x + -6) Combine like terms: 5x + -3x = 2x 12 + 2x = 3(x + -6) Reorder the terms: 12 + 2x = 3(-6 + x) 12 + 2x = (-6 * 3 + x * 3) 12 + 2x = (-18 + 3x) Solving 12 + 2x = -18 + 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. 12 + 2x + -3x = -18 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -18 + 0 12 + -1x = -18 Add '-12' to each side of the equation. 12 + -12 + -1x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -18 + -12 -1x = -18 + -12 Combine like terms: -18 + -12 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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