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Simplifying 0.5(x + 7) = x + -4 Reorder the terms: 0.5(7 + x) = x + -4 (7 * 0.5 + x * 0.5) = x + -4 (3.5 + 0.5x) = x + -4 Reorder the terms: 3.5 + 0.5x = -4 + x Solving 3.5 + 0.5x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.5 + 0.5x + -1x = -4 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 3.5 + -0.5x = -4 + x + -1x Combine like terms: x + -1x = 0 3.5 + -0.5x = -4 + 0 3.5 + -0.5x = -4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -0.5x = -4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.5x = -4 + -3.5 -0.5x = -4 + -3.5 Combine like terms: -4 + -3.5 = -7.5 -0.5x = -7.5 Divide each side by '-0.5'. x = 15 Simplifying x = 15
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