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Simplifying 0.5(7 + -5x) = 16 + -1(6x + 12) (7 * 0.5 + -5x * 0.5) = 16 + -1(6x + 12) (3.5 + -2.5x) = 16 + -1(6x + 12) Reorder the terms: 3.5 + -2.5x = 16 + -1(12 + 6x) 3.5 + -2.5x = 16 + (12 * -1 + 6x * -1) 3.5 + -2.5x = 16 + (-12 + -6x) Combine like terms: 16 + -12 = 4 3.5 + -2.5x = 4 + -6x Solving 3.5 + -2.5x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3.5 + -2.5x + 6x = 4 + -6x + 6x Combine like terms: -2.5x + 6x = 3.5x 3.5 + 3.5x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 3.5 + 3.5x = 4 + 0 3.5 + 3.5x = 4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 3.5x = 4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3.5x = 4 + -3.5 3.5x = 4 + -3.5 Combine like terms: 4 + -3.5 = 0.5 3.5x = 0.5 Divide each side by '3.5'. x = 0.1428571429 Simplifying x = 0.1428571429
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