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Simplifying 3(x + 5) = 8x + -1(7 + -2x) Reorder the terms: 3(5 + x) = 8x + -1(7 + -2x) (5 * 3 + x * 3) = 8x + -1(7 + -2x) (15 + 3x) = 8x + -1(7 + -2x) 15 + 3x = 8x + (7 * -1 + -2x * -1) 15 + 3x = 8x + (-7 + 2x) Reorder the terms: 15 + 3x = -7 + 8x + 2x Combine like terms: 8x + 2x = 10x 15 + 3x = -7 + 10x Solving 15 + 3x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 3x + -10x = -7 + 10x + -10x Combine like terms: 3x + -10x = -7x 15 + -7x = -7 + 10x + -10x Combine like terms: 10x + -10x = 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 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143
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