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Simplifying 3(2x + -4) + -1x = 2(14 + -2x) + x Reorder the terms: 3(-4 + 2x) + -1x = 2(14 + -2x) + x (-4 * 3 + 2x * 3) + -1x = 2(14 + -2x) + x (-12 + 6x) + -1x = 2(14 + -2x) + x Combine like terms: 6x + -1x = 5x -12 + 5x = 2(14 + -2x) + x -12 + 5x = (14 * 2 + -2x * 2) + x -12 + 5x = (28 + -4x) + x Combine like terms: -4x + x = -3x -12 + 5x = 28 + -3x Solving -12 + 5x = 28 + -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 + 5x + 3x = 28 + -3x + 3x Combine like terms: 5x + 3x = 8x -12 + 8x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 8x = 28 + 0 -12 + 8x = 28 Add '12' to each side of the equation. -12 + 12 + 8x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 28 + 12 8x = 28 + 12 Combine like terms: 28 + 12 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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