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Simplifying 36 = 0.5(x + 6) + -1(3x + -2) Reorder the terms: 36 = 0.5(6 + x) + -1(3x + -2) 36 = (6 * 0.5 + x * 0.5) + -1(3x + -2) 36 = (3 + 0.5x) + -1(3x + -2) Reorder the terms: 36 = 3 + 0.5x + -1(-2 + 3x) 36 = 3 + 0.5x + (-2 * -1 + 3x * -1) 36 = 3 + 0.5x + (2 + -3x) Reorder the terms: 36 = 3 + 2 + 0.5x + -3x Combine like terms: 3 + 2 = 5 36 = 5 + 0.5x + -3x Combine like terms: 0.5x + -3x = -2.5x 36 = 5 + -2.5x Solving 36 = 5 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 36 + 2.5x = 5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 36 + 2.5x = 5 + 0.0 36 + 2.5x = 5 Add '-36' to each side of the equation. 36 + -36 + 2.5x = 5 + -36 Combine like terms: 36 + -36 = 0 0 + 2.5x = 5 + -36 2.5x = 5 + -36 Combine like terms: 5 + -36 = -31 2.5x = -31 Divide each side by '2.5'. x = -12.4 Simplifying x = -12.4
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