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Simplifying 0.5(5 + -7x) = (4x + 6) (5 * 0.5 + -7x * 0.5) = (4x + 6) (2.5 + -3.5x) = (4x + 6) Reorder the terms: 2.5 + -3.5x = (6 + 4x) Remove parenthesis around (6 + 4x) 2.5 + -3.5x = 6 + 4x Solving 2.5 + -3.5x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2.5 + -3.5x + -4x = 6 + 4x + -4x Combine like terms: -3.5x + -4x = -7.5x 2.5 + -7.5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 2.5 + -7.5x = 6 + 0 2.5 + -7.5x = 6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -7.5x = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -7.5x = 6 + -2.5 -7.5x = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 -7.5x = 3.5 Divide each side by '-7.5'. x = -0.4666666667 Simplifying x = -0.4666666667
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