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Simplifying 0.5(5 + -7x) = -1(4x + 6) (5 * 0.5 + -7x * 0.5) = -1(4x + 6) (2.5 + -3.5x) = -1(4x + 6) Reorder the terms: 2.5 + -3.5x = -1(6 + 4x) 2.5 + -3.5x = (6 * -1 + 4x * -1) 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 = 0.5x 2.5 + 0.5x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 2.5 + 0.5x = -6 + 0 2.5 + 0.5x = -6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.5x = -6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5x = -6 + -2.5 0.5x = -6 + -2.5 Combine like terms: -6 + -2.5 = -8.5 0.5x = -8.5 Divide each side by '0.5'. x = -17 Simplifying x = -17
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