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Simplifying 10 = 3(x + -3) + -1(x + -7) Reorder the terms: 10 = 3(-3 + x) + -1(x + -7) 10 = (-3 * 3 + x * 3) + -1(x + -7) 10 = (-9 + 3x) + -1(x + -7) Reorder the terms: 10 = -9 + 3x + -1(-7 + x) 10 = -9 + 3x + (-7 * -1 + x * -1) 10 = -9 + 3x + (7 + -1x) Reorder the terms: 10 = -9 + 7 + 3x + -1x Combine like terms: -9 + 7 = -2 10 = -2 + 3x + -1x Combine like terms: 3x + -1x = 2x 10 = -2 + 2x Solving 10 = -2 + 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. 10 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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