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Simplifying 0.5(12 + -2x) + -4 = 5x + 2(x + -7) (12 * 0.5 + -2x * 0.5) + -4 = 5x + 2(x + -7) (6 + -1x) + -4 = 5x + 2(x + -7) Reorder the terms: 6 + -4 + -1x = 5x + 2(x + -7) Combine like terms: 6 + -4 = 2 2 + -1x = 5x + 2(x + -7) Reorder the terms: 2 + -1x = 5x + 2(-7 + x) 2 + -1x = 5x + (-7 * 2 + x * 2) 2 + -1x = 5x + (-14 + 2x) Reorder the terms: 2 + -1x = -14 + 5x + 2x Combine like terms: 5x + 2x = 7x 2 + -1x = -14 + 7x Solving 2 + -1x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -1x + -7x = -14 + 7x + -7x Combine like terms: -1x + -7x = -8x 2 + -8x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -8x = -14 + 0 2 + -8x = -14 Add '-2' to each side of the equation. 2 + -2 + -8x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -14 + -2 -8x = -14 + -2 Combine like terms: -14 + -2 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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