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Simplifying 2.5x + 15 + 0.5x + -2 = 1.2x + 1.08x + -12 Reorder the terms: 15 + -2 + 2.5x + 0.5x = 1.2x + 1.08x + -12 Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 1.2x + 1.08x + -12 Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 1.2x + 1.08x + -12 Reorder the terms: 13 + 3x = -12 + 1.2x + 1.08x Combine like terms: 1.2x + 1.08x = 2.28x 13 + 3x = -12 + 2.28x Solving 13 + 3x = -12 + 2.28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.28x' to each side of the equation. 13 + 3x + -2.28x = -12 + 2.28x + -2.28x Combine like terms: 3x + -2.28x = 0.72x 13 + 0.72x = -12 + 2.28x + -2.28x Combine like terms: 2.28x + -2.28x = 0.00 13 + 0.72x = -12 + 0.00 13 + 0.72x = -12 Add '-13' to each side of the equation. 13 + -13 + 0.72x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 0.72x = -12 + -13 0.72x = -12 + -13 Combine like terms: -12 + -13 = -25 0.72x = -25 Divide each side by '0.72'. x = -34.72222222 Simplifying x = -34.72222222
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