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Simplifying 3x + -2(x + 6) = 4x + -1x + -10 Reorder the terms: 3x + -2(6 + x) = 4x + -1x + -10 3x + (6 * -2 + x * -2) = 4x + -1x + -10 3x + (-12 + -2x) = 4x + -1x + -10 Reorder the terms: -12 + 3x + -2x = 4x + -1x + -10 Combine like terms: 3x + -2x = 1x -12 + 1x = 4x + -1x + -10 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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