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Simplifying -4(3 + -2x) + 2x = 2x + -7 (3 * -4 + -2x * -4) + 2x = 2x + -7 (-12 + 8x) + 2x = 2x + -7 Combine like terms: 8x + 2x = 10x -12 + 10x = 2x + -7 Reorder the terms: -12 + 10x = -7 + 2x Solving -12 + 10x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 10x + -2x = -7 + 2x + -2x Combine like terms: 10x + -2x = 8x -12 + 8x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 8x = -7 + 0 -12 + 8x = -7 Add '12' to each side of the equation. -12 + 12 + 8x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -7 + 12 8x = -7 + 12 Combine like terms: -7 + 12 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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