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Simplifying 7 = 3(2x + -1) + -1(x + -5) Reorder the terms: 7 = 3(-1 + 2x) + -1(x + -5) 7 = (-1 * 3 + 2x * 3) + -1(x + -5) 7 = (-3 + 6x) + -1(x + -5) Reorder the terms: 7 = -3 + 6x + -1(-5 + x) 7 = -3 + 6x + (-5 * -1 + x * -1) 7 = -3 + 6x + (5 + -1x) Reorder the terms: 7 = -3 + 5 + 6x + -1x Combine like terms: -3 + 5 = 2 7 = 2 + 6x + -1x Combine like terms: 6x + -1x = 5x 7 = 2 + 5x Solving 7 = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x = 2 + 0 7 + -5x = 2 Add '-7' to each side of the equation. 7 + -7 + -5x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 2 + -7 -5x = 2 + -7 Combine like terms: 2 + -7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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