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Simplifying 6x + -12 = 4(x + -3) + x + -2 Reorder the terms: -12 + 6x = 4(x + -3) + x + -2 Reorder the terms: -12 + 6x = 4(-3 + x) + x + -2 -12 + 6x = (-3 * 4 + x * 4) + x + -2 -12 + 6x = (-12 + 4x) + x + -2 Reorder the terms: -12 + 6x = -12 + -2 + 4x + x Combine like terms: -12 + -2 = -14 -12 + 6x = -14 + 4x + x Combine like terms: 4x + x = 5x -12 + 6x = -14 + 5x Solving -12 + 6x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -14 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -14 + 0 -12 + 1x = -14 Add '12' to each side of the equation. -12 + 12 + 1x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -14 + 12 1x = -14 + 12 Combine like terms: -14 + 12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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