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Simplifying 8(x + 40) = 1.5(2x + 8) Reorder the terms: 8(40 + x) = 1.5(2x + 8) (40 * 8 + x * 8) = 1.5(2x + 8) (320 + 8x) = 1.5(2x + 8) Reorder the terms: 320 + 8x = 1.5(8 + 2x) 320 + 8x = (8 * 1.5 + 2x * 1.5) 320 + 8x = (12 + 3x) Solving 320 + 8x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 320 + 8x + -3x = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x 320 + 5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 320 + 5x = 12 + 0 320 + 5x = 12 Add '-320' to each side of the equation. 320 + -320 + 5x = 12 + -320 Combine like terms: 320 + -320 = 0 0 + 5x = 12 + -320 5x = 12 + -320 Combine like terms: 12 + -320 = -308 5x = -308 Divide each side by '5'. x = -61.6 Simplifying x = -61.6
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