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Simplifying 8(3 + 0.5x) + -7 = 1.5(6 + -4x) (3 * 8 + 0.5x * 8) + -7 = 1.5(6 + -4x) (24 + 4x) + -7 = 1.5(6 + -4x) Reorder the terms: 24 + -7 + 4x = 1.5(6 + -4x) Combine like terms: 24 + -7 = 17 17 + 4x = 1.5(6 + -4x) 17 + 4x = (6 * 1.5 + -4x * 1.5) 17 + 4x = (9 + -6x) Solving 17 + 4x = 9 + -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. 17 + 4x + 6x = 9 + -6x + 6x Combine like terms: 4x + 6x = 10x 17 + 10x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 10x = 9 + 0 17 + 10x = 9 Add '-17' to each side of the equation. 17 + -17 + 10x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 9 + -17 10x = 9 + -17 Combine like terms: 9 + -17 = -8 10x = -8 Divide each side by '10'. x = -0.8 Simplifying x = -0.8
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