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Simplifying 4 + -1(3x + 2) = 0.5(8x + 12) Reorder the terms: 4 + -1(2 + 3x) = 0.5(8x + 12) 4 + (2 * -1 + 3x * -1) = 0.5(8x + 12) 4 + (-2 + -3x) = 0.5(8x + 12) Combine like terms: 4 + -2 = 2 2 + -3x = 0.5(8x + 12) Reorder the terms: 2 + -3x = 0.5(12 + 8x) 2 + -3x = (12 * 0.5 + 8x * 0.5) 2 + -3x = (6 + 4x) Solving 2 + -3x = 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 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -7x = 6 + 0 2 + -7x = 6 Add '-2' to each side of the equation. 2 + -2 + -7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 6 + -2 -7x = 6 + -2 Combine like terms: 6 + -2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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