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Simplifying 5 = 3(x + -2) + -1(x + -7) Reorder the terms: 5 = 3(-2 + x) + -1(x + -7) 5 = (-2 * 3 + x * 3) + -1(x + -7) 5 = (-6 + 3x) + -1(x + -7) Reorder the terms: 5 = -6 + 3x + -1(-7 + x) 5 = -6 + 3x + (-7 * -1 + x * -1) 5 = -6 + 3x + (7 + -1x) Reorder the terms: 5 = -6 + 7 + 3x + -1x Combine like terms: -6 + 7 = 1 5 = 1 + 3x + -1x Combine like terms: 3x + -1x = 2x 5 = 1 + 2x Solving 5 = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -2x = 1 + 0 5 + -2x = 1 Add '-5' to each side of the equation. 5 + -5 + -2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 1 + -5 -2x = 1 + -5 Combine like terms: 1 + -5 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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