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Simplifying 2.5(1 + -2x) = 1.5(x + 14) (1 * 2.5 + -2x * 2.5) = 1.5(x + 14) (2.5 + -5x) = 1.5(x + 14) Reorder the terms: 2.5 + -5x = 1.5(14 + x) 2.5 + -5x = (14 * 1.5 + x * 1.5) 2.5 + -5x = (21 + 1.5x) Solving 2.5 + -5x = 21 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 2.5 + -5x + -1.5x = 21 + 1.5x + -1.5x Combine like terms: -5x + -1.5x = -6.5x 2.5 + -6.5x = 21 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2.5 + -6.5x = 21 + 0.0 2.5 + -6.5x = 21 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -6.5x = 21 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -6.5x = 21 + -2.5 -6.5x = 21 + -2.5 Combine like terms: 21 + -2.5 = 18.5 -6.5x = 18.5 Divide each side by '-6.5'. x = -2.846153846 Simplifying x = -2.846153846
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