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Simplifying 2.5x + 15 + 0.95(x + -4) = 1.2x + 2(0.9x + -6) Reorder the terms: 2.5x + 15 + 0.95(-4 + x) = 1.2x + 2(0.9x + -6) 2.5x + 15 + (-4 * 0.95 + x * 0.95) = 1.2x + 2(0.9x + -6) 2.5x + 15 + (-3.8 + 0.95x) = 1.2x + 2(0.9x + -6) Reorder the terms: 15 + -3.8 + 2.5x + 0.95x = 1.2x + 2(0.9x + -6) Combine like terms: 15 + -3.8 = 11.2 11.2 + 2.5x + 0.95x = 1.2x + 2(0.9x + -6) Combine like terms: 2.5x + 0.95x = 3.45x 11.2 + 3.45x = 1.2x + 2(0.9x + -6) Reorder the terms: 11.2 + 3.45x = 1.2x + 2(-6 + 0.9x) 11.2 + 3.45x = 1.2x + (-6 * 2 + 0.9x * 2) 11.2 + 3.45x = 1.2x + (-12 + 1.8x) Reorder the terms: 11.2 + 3.45x = -12 + 1.2x + 1.8x Combine like terms: 1.2x + 1.8x = 3x 11.2 + 3.45x = -12 + 3x Solving 11.2 + 3.45x = -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. 11.2 + 3.45x + -3x = -12 + 3x + -3x Combine like terms: 3.45x + -3x = 0.45x 11.2 + 0.45x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 11.2 + 0.45x = -12 + 0 11.2 + 0.45x = -12 Add '-11.2' to each side of the equation. 11.2 + -11.2 + 0.45x = -12 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + 0.45x = -12 + -11.2 0.45x = -12 + -11.2 Combine like terms: -12 + -11.2 = -23.2 0.45x = -23.2 Divide each side by '0.45'. x = -51.55555556 Simplifying x = -51.55555556
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