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Simplifying 2.5x + 15 + 0.5(x + -4) = 1.2 + 1(0.9x + -6) Reorder the terms: 2.5x + 15 + 0.5(-4 + x) = 1.2 + 1(0.9x + -6) 2.5x + 15 + (-4 * 0.5 + x * 0.5) = 1.2 + 1(0.9x + -6) 2.5x + 15 + (-2 + 0.5x) = 1.2 + 1(0.9x + -6) Reorder the terms: 15 + -2 + 2.5x + 0.5x = 1.2 + 1(0.9x + -6) Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 1.2 + 1(0.9x + -6) Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 1.2 + 1(0.9x + -6) Reorder the terms: 13 + 3x = 1.2 + 1(-6 + 0.9x) 13 + 3x = 1.2 + (-6 * 1 + 0.9x * 1) 13 + 3x = 1.2 + (-6 + 0.9x) Combine like terms: 1.2 + -6 = -4.8 13 + 3x = -4.8 + 0.9x Solving 13 + 3x = -4.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 13 + 3x + -0.9x = -4.8 + 0.9x + -0.9x Combine like terms: 3x + -0.9x = 2.1x 13 + 2.1x = -4.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 13 + 2.1x = -4.8 + 0.0 13 + 2.1x = -4.8 Add '-13' to each side of the equation. 13 + -13 + 2.1x = -4.8 + -13 Combine like terms: 13 + -13 = 0 0 + 2.1x = -4.8 + -13 2.1x = -4.8 + -13 Combine like terms: -4.8 + -13 = -17.8 2.1x = -17.8 Divide each side by '2.1'. x = -8.476190476 Simplifying x = -8.476190476
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