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Simplifying 2.5 + 15 + 0.5(x + -4) = 1.2 + 2(0.9 + -6) Reorder the terms: 2.5 + 15 + 0.5(-4 + x) = 1.2 + 2(0.9 + -6) 2.5 + 15 + (-4 * 0.5 + x * 0.5) = 1.2 + 2(0.9 + -6) 2.5 + 15 + (-2 + 0.5x) = 1.2 + 2(0.9 + -6) Combine like terms: 2.5 + 15 = 17.5 17.5 + -2 + 0.5x = 1.2 + 2(0.9 + -6) Combine like terms: 17.5 + -2 = 15.5 15.5 + 0.5x = 1.2 + 2(0.9 + -6) Combine like terms: 0.9 + -6 = -5.1 15.5 + 0.5x = 1.2 + 2(-5.1) Multiply 2 * -5.1 15.5 + 0.5x = 1.2 + -10.2 Combine like terms: 1.2 + -10.2 = -9 15.5 + 0.5x = -9 Solving 15.5 + 0.5x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.5' to each side of the equation. 15.5 + -15.5 + 0.5x = -9 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + 0.5x = -9 + -15.5 0.5x = -9 + -15.5 Combine like terms: -9 + -15.5 = -24.5 0.5x = -24.5 Divide each side by '0.5'. x = -49 Simplifying x = -49
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