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Simplifying 2.5 + 15 + 0.5(x + -4) = 1.2x + 2(0.9x + -6) Reorder the terms: 2.5 + 15 + 0.5(-4 + x) = 1.2x + 2(0.9x + -6) 2.5 + 15 + (-4 * 0.5 + x * 0.5) = 1.2x + 2(0.9x + -6) 2.5 + 15 + (-2 + 0.5x) = 1.2x + 2(0.9x + -6) Combine like terms: 2.5 + 15 = 17.5 17.5 + -2 + 0.5x = 1.2x + 2(0.9x + -6) Combine like terms: 17.5 + -2 = 15.5 15.5 + 0.5x = 1.2x + 2(0.9x + -6) Reorder the terms: 15.5 + 0.5x = 1.2x + 2(-6 + 0.9x) 15.5 + 0.5x = 1.2x + (-6 * 2 + 0.9x * 2) 15.5 + 0.5x = 1.2x + (-12 + 1.8x) Reorder the terms: 15.5 + 0.5x = -12 + 1.2x + 1.8x Combine like terms: 1.2x + 1.8x = 3x 15.5 + 0.5x = -12 + 3x Solving 15.5 + 0.5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15.5 + 0.5x + -3x = -12 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 15.5 + -2.5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 15.5 + -2.5x = -12 + 0 15.5 + -2.5x = -12 Add '-15.5' to each side of the equation. 15.5 + -15.5 + -2.5x = -12 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -2.5x = -12 + -15.5 -2.5x = -12 + -15.5 Combine like terms: -12 + -15.5 = -27.5 -2.5x = -27.5 Divide each side by '-2.5'. x = 11 Simplifying x = 11
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