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Simplifying 2.5x + 15 + 0.5(x + -4) = 2(0.9x + -6) Reorder the terms: 2.5x + 15 + 0.5(-4 + x) = 2(0.9x + -6) 2.5x + 15 + (-4 * 0.5 + x * 0.5) = 2(0.9x + -6) 2.5x + 15 + (-2 + 0.5x) = 2(0.9x + -6) Reorder the terms: 15 + -2 + 2.5x + 0.5x = 2(0.9x + -6) Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 2(0.9x + -6) Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 2(0.9x + -6) Reorder the terms: 13 + 3x = 2(-6 + 0.9x) 13 + 3x = (-6 * 2 + 0.9x * 2) 13 + 3x = (-12 + 1.8x) Solving 13 + 3x = -12 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 13 + 3x + -1.8x = -12 + 1.8x + -1.8x Combine like terms: 3x + -1.8x = 1.2x 13 + 1.2x = -12 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 13 + 1.2x = -12 + 0.0 13 + 1.2x = -12 Add '-13' to each side of the equation. 13 + -13 + 1.2x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 1.2x = -12 + -13 1.2x = -12 + -13 Combine like terms: -12 + -13 = -25 1.2x = -25 Divide each side by '1.2'. x = -20.83333333 Simplifying x = -20.83333333
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