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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 = 3x 13 + 3x = -12 + 3x Add '-3x' to each side of the equation. 13 + 3x + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 0 = -12 + 3x + -3x 13 = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 13 = -12 + 0 13 = -12 Solving 13 = -12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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