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Simplifying 7 + x = 0.5(4x + -2) Reorder the terms: 7 + x = 0.5(-2 + 4x) 7 + x = (-2 * 0.5 + 4x * 0.5) 7 + x = (-1 + 2x) Solving 7 + x = -1 + 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. 7 + x + -2x = -1 + 2x + -2x Combine like terms: x + -2x = -1x 7 + -1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = -1 + 0 7 + -1x = -1 Add '-7' to each side of the equation. 7 + -7 + -1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -1 + -7 -1x = -1 + -7 Combine like terms: -1 + -7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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