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Simplifying 2.5x + 15 + 0.5(x + -4) = 1.2x + 2(0.9 + -6) Reorder the terms: 2.5x + 15 + 0.5(-4 + x) = 1.2x + 2(0.9 + -6) 2.5x + 15 + (-4 * 0.5 + x * 0.5) = 1.2x + 2(0.9 + -6) 2.5x + 15 + (-2 + 0.5x) = 1.2x + 2(0.9 + -6) Reorder the terms: 15 + -2 + 2.5x + 0.5x = 1.2x + 2(0.9 + -6) Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 1.2x + 2(0.9 + -6) Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 1.2x + 2(0.9 + -6) Combine like terms: 0.9 + -6 = -5.1 13 + 3x = 1.2x + 2(-5.1) Multiply 2 * -5.1 13 + 3x = 1.2x + -10.2 Reorder the terms: 13 + 3x = -10.2 + 1.2x Solving 13 + 3x = -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. 13 + 3x + -1.2x = -10.2 + 1.2x + -1.2x Combine like terms: 3x + -1.2x = 1.8x 13 + 1.8x = -10.2 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 13 + 1.8x = -10.2 + 0.0 13 + 1.8x = -10.2 Add '-13' to each side of the equation. 13 + -13 + 1.8x = -10.2 + -13 Combine like terms: 13 + -13 = 0 0 + 1.8x = -10.2 + -13 1.8x = -10.2 + -13 Combine like terms: -10.2 + -13 = -23.2 1.8x = -23.2 Divide each side by '1.8'. x = -12.88888889 Simplifying x = -12.88888889
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