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Simplifying 1.5(10x + -25) = 1.4(20x + -8) Reorder the terms: 1.5(-25 + 10x) = 1.4(20x + -8) (-25 * 1.5 + 10x * 1.5) = 1.4(20x + -8) (-37.5 + 15x) = 1.4(20x + -8) Reorder the terms: -37.5 + 15x = 1.4(-8 + 20x) -37.5 + 15x = (-8 * 1.4 + 20x * 1.4) -37.5 + 15x = (-11.2 + 28x) Solving -37.5 + 15x = -11.2 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -37.5 + 15x + -28x = -11.2 + 28x + -28x Combine like terms: 15x + -28x = -13x -37.5 + -13x = -11.2 + 28x + -28x Combine like terms: 28x + -28x = 0 -37.5 + -13x = -11.2 + 0 -37.5 + -13x = -11.2 Add '37.5' to each side of the equation. -37.5 + 37.5 + -13x = -11.2 + 37.5 Combine like terms: -37.5 + 37.5 = 0.0 0.0 + -13x = -11.2 + 37.5 -13x = -11.2 + 37.5 Combine like terms: -11.2 + 37.5 = 26.3 -13x = 26.3 Divide each side by '-13'. x = -2.023076923 Simplifying x = -2.023076923
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