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Simplifying 5(3 + -1x) = 3(x + -3) + -4x (3 * 5 + -1x * 5) = 3(x + -3) + -4x (15 + -5x) = 3(x + -3) + -4x Reorder the terms: 15 + -5x = 3(-3 + x) + -4x 15 + -5x = (-3 * 3 + x * 3) + -4x 15 + -5x = (-9 + 3x) + -4x Combine like terms: 3x + -4x = -1x 15 + -5x = -9 + -1x Solving 15 + -5x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -5x + x = -9 + -1x + x Combine like terms: -5x + x = -4x 15 + -4x = -9 + -1x + x Combine like terms: -1x + x = 0 15 + -4x = -9 + 0 15 + -4x = -9 Add '-15' to each side of the equation. 15 + -15 + -4x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -9 + -15 -4x = -9 + -15 Combine like terms: -9 + -15 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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