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Simplifying 2.5x + 15 + 0.5(x + -4) = 1.2x + -2(0.9x + -6) Reorder the terms: 2.5x + 15 + 0.5(-4 + x) = 1.2x + -2(0.9x + -6) 2.5x + 15 + (-4 * 0.5 + x * 0.5) = 1.2x + -2(0.9x + -6) 2.5x + 15 + (-2 + 0.5x) = 1.2x + -2(0.9x + -6) Reorder the terms: 15 + -2 + 2.5x + 0.5x = 1.2x + -2(0.9x + -6) Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 1.2x + -2(0.9x + -6) Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 1.2x + -2(0.9x + -6) Reorder the terms: 13 + 3x = 1.2x + -2(-6 + 0.9x) 13 + 3x = 1.2x + (-6 * -2 + 0.9x * -2) 13 + 3x = 1.2x + (12 + -1.8x) Reorder the terms: 13 + 3x = 12 + 1.2x + -1.8x Combine like terms: 1.2x + -1.8x = -0.6x 13 + 3x = 12 + -0.6x Solving 13 + 3x = 12 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 13 + 3x + 0.6x = 12 + -0.6x + 0.6x Combine like terms: 3x + 0.6x = 3.6x 13 + 3.6x = 12 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 13 + 3.6x = 12 + 0.0 13 + 3.6x = 12 Add '-13' to each side of the equation. 13 + -13 + 3.6x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 3.6x = 12 + -13 3.6x = 12 + -13 Combine like terms: 12 + -13 = -1 3.6x = -1 Divide each side by '3.6'. x = -0.2777777778 Simplifying x = -0.2777777778
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