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Simplifying 2(x + -4) + 6 = 3x + -12 Reorder the terms: 2(-4 + x) + 6 = 3x + -12 (-4 * 2 + x * 2) + 6 = 3x + -12 (-8 + 2x) + 6 = 3x + -12 Reorder the terms: -8 + 6 + 2x = 3x + -12 Combine like terms: -8 + 6 = -2 -2 + 2x = 3x + -12 Reorder the terms: -2 + 2x = -12 + 3x Solving -2 + 2x = -12 + 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. -2 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -12 + 0 -2 + -1x = -12 Add '2' to each side of the equation. -2 + 2 + -1x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -12 + 2 -1x = -12 + 2 Combine like terms: -12 + 2 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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