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Simplifying -5(3 + -1x) = 2(x + -4) + 15 (3 * -5 + -1x * -5) = 2(x + -4) + 15 (-15 + 5x) = 2(x + -4) + 15 Reorder the terms: -15 + 5x = 2(-4 + x) + 15 -15 + 5x = (-4 * 2 + x * 2) + 15 -15 + 5x = (-8 + 2x) + 15 Reorder the terms: -15 + 5x = -8 + 15 + 2x Combine like terms: -8 + 15 = 7 -15 + 5x = 7 + 2x Solving -15 + 5x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = 7 + 0 -15 + 3x = 7 Add '15' to each side of the equation. -15 + 15 + 3x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 7 + 15 3x = 7 + 15 Combine like terms: 7 + 15 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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