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Simplifying 0.5(7 + -5x) = (3x + 4) (7 * 0.5 + -5x * 0.5) = (3x + 4) (3.5 + -2.5x) = (3x + 4) Reorder the terms: 3.5 + -2.5x = (4 + 3x) Remove parenthesis around (4 + 3x) 3.5 + -2.5x = 4 + 3x Solving 3.5 + -2.5x = 4 + 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. 3.5 + -2.5x + -3x = 4 + 3x + -3x Combine like terms: -2.5x + -3x = -5.5x 3.5 + -5.5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 3.5 + -5.5x = 4 + 0 3.5 + -5.5x = 4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -5.5x = 4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -5.5x = 4 + -3.5 -5.5x = 4 + -3.5 Combine like terms: 4 + -3.5 = 0.5 -5.5x = 0.5 Divide each side by '-5.5'. x = -0.09090909091 Simplifying x = -0.09090909091
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