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Simplifying 2.5 + 15 + 0.5(x + -4) = 1.2x + 2(0.9 + -6) Reorder the terms: 2.5 + 15 + 0.5(-4 + x) = 1.2x + 2(0.9 + -6) 2.5 + 15 + (-4 * 0.5 + x * 0.5) = 1.2x + 2(0.9 + -6) 2.5 + 15 + (-2 + 0.5x) = 1.2x + 2(0.9 + -6) Combine like terms: 2.5 + 15 = 17.5 17.5 + -2 + 0.5x = 1.2x + 2(0.9 + -6) Combine like terms: 17.5 + -2 = 15.5 15.5 + 0.5x = 1.2x + 2(0.9 + -6) Combine like terms: 0.9 + -6 = -5.1 15.5 + 0.5x = 1.2x + 2(-5.1) Multiply 2 * -5.1 15.5 + 0.5x = 1.2x + -10.2 Reorder the terms: 15.5 + 0.5x = -10.2 + 1.2x Solving 15.5 + 0.5x = -10.2 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 15.5 + 0.5x + -1.2x = -10.2 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x 15.5 + -0.7x = -10.2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 15.5 + -0.7x = -10.2 + 0.0 15.5 + -0.7x = -10.2 Add '-15.5' to each side of the equation. 15.5 + -15.5 + -0.7x = -10.2 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -0.7x = -10.2 + -15.5 -0.7x = -10.2 + -15.5 Combine like terms: -10.2 + -15.5 = -25.7 -0.7x = -25.7 Divide each side by '-0.7'. x = 36.71428571 Simplifying x = 36.71428571
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