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Simplifying 3x + -2(x + -6) = 4x + -1(x + -10) Reorder the terms: 3x + -2(-6 + x) = 4x + -1(x + -10) 3x + (-6 * -2 + x * -2) = 4x + -1(x + -10) 3x + (12 + -2x) = 4x + -1(x + -10) Reorder the terms: 12 + 3x + -2x = 4x + -1(x + -10) Combine like terms: 3x + -2x = 1x 12 + 1x = 4x + -1(x + -10) Reorder the terms: 12 + 1x = 4x + -1(-10 + x) 12 + 1x = 4x + (-10 * -1 + x * -1) 12 + 1x = 4x + (10 + -1x) Reorder the terms: 12 + 1x = 10 + 4x + -1x Combine like terms: 4x + -1x = 3x 12 + 1x = 10 + 3x Solving 12 + 1x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 1x + -3x = 10 + 3x + -3x Combine like terms: 1x + -3x = -2x 12 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -2x = 10 + 0 12 + -2x = 10 Add '-12' to each side of the equation. 12 + -12 + -2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 10 + -12 -2x = 10 + -12 Combine like terms: 10 + -12 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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