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Simplifying 5 = 5(x + -2) + -1(x + -7) Reorder the terms: 5 = 5(-2 + x) + -1(x + -7) 5 = (-2 * 5 + x * 5) + -1(x + -7) 5 = (-10 + 5x) + -1(x + -7) Reorder the terms: 5 = -10 + 5x + -1(-7 + x) 5 = -10 + 5x + (-7 * -1 + x * -1) 5 = -10 + 5x + (7 + -1x) Reorder the terms: 5 = -10 + 7 + 5x + -1x Combine like terms: -10 + 7 = -3 5 = -3 + 5x + -1x Combine like terms: 5x + -1x = 4x 5 = -3 + 4x Solving 5 = -3 + 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. 5 + -4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -4x = -3 + 0 5 + -4x = -3 Add '-5' to each side of the equation. 5 + -5 + -4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -3 + -5 -4x = -3 + -5 Combine like terms: -3 + -5 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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