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Simplifying 5(3 + x) = 3(x + -5) + -4x (3 * 5 + x * 5) = 3(x + -5) + -4x (15 + 5x) = 3(x + -5) + -4x Reorder the terms: 15 + 5x = 3(-5 + x) + -4x 15 + 5x = (-5 * 3 + x * 3) + -4x 15 + 5x = (-15 + 3x) + -4x Combine like terms: 3x + -4x = -1x 15 + 5x = -15 + -1x Solving 15 + 5x = -15 + -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 = -15 + -1x + x Combine like terms: 5x + x = 6x 15 + 6x = -15 + -1x + x Combine like terms: -1x + x = 0 15 + 6x = -15 + 0 15 + 6x = -15 Add '-15' to each side of the equation. 15 + -15 + 6x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -15 + -15 6x = -15 + -15 Combine like terms: -15 + -15 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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