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Simplifying 0.5(5 + -7x) = 8(4x + 6) (5 * 0.5 + -7x * 0.5) = 8(4x + 6) (2.5 + -3.5x) = 8(4x + 6) Reorder the terms: 2.5 + -3.5x = 8(6 + 4x) 2.5 + -3.5x = (6 * 8 + 4x * 8) 2.5 + -3.5x = (48 + 32x) Solving 2.5 + -3.5x = 48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 2.5 + -3.5x + -32x = 48 + 32x + -32x Combine like terms: -3.5x + -32x = -35.5x 2.5 + -35.5x = 48 + 32x + -32x Combine like terms: 32x + -32x = 0 2.5 + -35.5x = 48 + 0 2.5 + -35.5x = 48 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -35.5x = 48 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -35.5x = 48 + -2.5 -35.5x = 48 + -2.5 Combine like terms: 48 + -2.5 = 45.5 -35.5x = 45.5 Divide each side by '-35.5'. x = -1.281690141 Simplifying x = -1.281690141
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