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Simplifying 1000 = 40x + 15(1.5x) Remove parenthesis around (1.5x) 1000 = 40x + 15 * 1.5x Multiply 15 * 1.5 1000 = 40x + 22.5x Combine like terms: 40x + 22.5x = 62.5x 1000 = 62.5x Solving 1000 = 62.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.5x' to each side of the equation. 1000 + -62.5x = 62.5x + -62.5x Combine like terms: 62.5x + -62.5x = 0.0 1000 + -62.5x = 0.0 Add '-1000' to each side of the equation. 1000 + -1000 + -62.5x = 0.0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -62.5x = 0.0 + -1000 -62.5x = 0.0 + -1000 Combine like terms: 0.0 + -1000 = -1000 -62.5x = -1000 Divide each side by '-62.5'. x = 16 Simplifying x = 16
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