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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 = -7x 15 + -7x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -7x = 7 + 0 15 + -7x = 7 Add '-15' to each side of the equation. 15 + -15 + -7x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 7 + -15 -7x = 7 + -15 Combine like terms: 7 + -15 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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