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Simplifying 3(2x + -4) + -4 = x + -2(14 + -2x) Reorder the terms: 3(-4 + 2x) + -4 = x + -2(14 + -2x) (-4 * 3 + 2x * 3) + -4 = x + -2(14 + -2x) (-12 + 6x) + -4 = x + -2(14 + -2x) Reorder the terms: -12 + -4 + 6x = x + -2(14 + -2x) Combine like terms: -12 + -4 = -16 -16 + 6x = x + -2(14 + -2x) -16 + 6x = x + (14 * -2 + -2x * -2) -16 + 6x = x + (-28 + 4x) Reorder the terms: -16 + 6x = -28 + x + 4x Combine like terms: x + 4x = 5x -16 + 6x = -28 + 5x Solving -16 + 6x = -28 + 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. -16 + 6x + -5x = -28 + 5x + -5x Combine like terms: 6x + -5x = 1x -16 + 1x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 1x = -28 + 0 -16 + 1x = -28 Add '16' to each side of the equation. -16 + 16 + 1x = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -28 + 16 1x = -28 + 16 Combine like terms: -28 + 16 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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