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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 + 8 + -5x + -2x = 15 Combine like terms: 15 + 8 = 23 23 + -5x + -2x = 15 Combine like terms: -5x + -2x = -7x 23 + -7x = 15 Solving 23 + -7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -7x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -7x = 15 + -23 -7x = 15 + -23 Combine like terms: 15 + -23 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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