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