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Simplifying (2x + -6) + 3(2x + -6) + 0.5(2x + -1) = 180 Reorder the terms: (-6 + 2x) + 3(2x + -6) + 0.5(2x + -1) = 180 Remove parenthesis around (-6 + 2x) -6 + 2x + 3(2x + -6) + 0.5(2x + -1) = 180 Reorder the terms: -6 + 2x + 3(-6 + 2x) + 0.5(2x + -1) = 180 -6 + 2x + (-6 * 3 + 2x * 3) + 0.5(2x + -1) = 180 -6 + 2x + (-18 + 6x) + 0.5(2x + -1) = 180 Reorder the terms: -6 + 2x + -18 + 6x + 0.5(-1 + 2x) = 180 -6 + 2x + -18 + 6x + (-1 * 0.5 + 2x * 0.5) = 180 -6 + 2x + -18 + 6x + (-0.5 + 1x) = 180 Reorder the terms: -6 + -18 + -0.5 + 2x + 6x + 1x = 180 Combine like terms: -6 + -18 = -24 -24 + -0.5 + 2x + 6x + 1x = 180 Combine like terms: -24 + -0.5 = -24.5 -24.5 + 2x + 6x + 1x = 180 Combine like terms: 2x + 6x = 8x -24.5 + 8x + 1x = 180 Combine like terms: 8x + 1x = 9x -24.5 + 9x = 180 Solving -24.5 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24.5' to each side of the equation. -24.5 + 24.5 + 9x = 180 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + 9x = 180 + 24.5 9x = 180 + 24.5 Combine like terms: 180 + 24.5 = 204.5 9x = 204.5 Divide each side by '9'. x = 22.72222222 Simplifying x = 22.72222222
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