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Simplifying 7 = 5(x + -2) + -1(x + -5) Reorder the terms: 7 = 5(-2 + x) + -1(x + -5) 7 = (-2 * 5 + x * 5) + -1(x + -5) 7 = (-10 + 5x) + -1(x + -5) Reorder the terms: 7 = -10 + 5x + -1(-5 + x) 7 = -10 + 5x + (-5 * -1 + x * -1) 7 = -10 + 5x + (5 + -1x) Reorder the terms: 7 = -10 + 5 + 5x + -1x Combine like terms: -10 + 5 = -5 7 = -5 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 = -5 + 4x Solving 7 = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -4x = -5 + 0 7 + -4x = -5 Add '-7' to each side of the equation. 7 + -7 + -4x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -5 + -7 -4x = -5 + -7 Combine like terms: -5 + -7 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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