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Simplifying 1.5(x + 8) + -4 = 3.5(2x + -7) Reorder the terms: 1.5(8 + x) + -4 = 3.5(2x + -7) (8 * 1.5 + x * 1.5) + -4 = 3.5(2x + -7) (12 + 1.5x) + -4 = 3.5(2x + -7) Reorder the terms: 12 + -4 + 1.5x = 3.5(2x + -7) Combine like terms: 12 + -4 = 8 8 + 1.5x = 3.5(2x + -7) Reorder the terms: 8 + 1.5x = 3.5(-7 + 2x) 8 + 1.5x = (-7 * 3.5 + 2x * 3.5) 8 + 1.5x = (-24.5 + 7x) Solving 8 + 1.5x = -24.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 1.5x + -7x = -24.5 + 7x + -7x Combine like terms: 1.5x + -7x = -5.5x 8 + -5.5x = -24.5 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -5.5x = -24.5 + 0 8 + -5.5x = -24.5 Add '-8' to each side of the equation. 8 + -8 + -5.5x = -24.5 + -8 Combine like terms: 8 + -8 = 0 0 + -5.5x = -24.5 + -8 -5.5x = -24.5 + -8 Combine like terms: -24.5 + -8 = -32.5 -5.5x = -32.5 Divide each side by '-5.5'. x = 5.909090909 Simplifying x = 5.909090909
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