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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 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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