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Simplifying 2x + -6 + 3(2x + -6) + 0.5(2x + -6) + 4 = 180 Reorder the terms: 2x + -6 + 3(-6 + 2x) + 0.5(2x + -6) + 4 = 180 2x + -6 + (-6 * 3 + 2x * 3) + 0.5(2x + -6) + 4 = 180 2x + -6 + (-18 + 6x) + 0.5(2x + -6) + 4 = 180 Reorder the terms: 2x + -6 + -18 + 6x + 0.5(-6 + 2x) + 4 = 180 2x + -6 + -18 + 6x + (-6 * 0.5 + 2x * 0.5) + 4 = 180 2x + -6 + -18 + 6x + (-3 + 1x) + 4 = 180 Reorder the terms: -6 + -18 + -3 + 4 + 2x + 6x + 1x = 180 Combine like terms: -6 + -18 = -24 -24 + -3 + 4 + 2x + 6x + 1x = 180 Combine like terms: -24 + -3 = -27 -27 + 4 + 2x + 6x + 1x = 180 Combine like terms: -27 + 4 = -23 -23 + 2x + 6x + 1x = 180 Combine like terms: 2x + 6x = 8x -23 + 8x + 1x = 180 Combine like terms: 8x + 1x = 9x -23 + 9x = 180 Solving -23 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 9x = 180 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = 180 + 23 9x = 180 + 23 Combine like terms: 180 + 23 = 203 9x = 203 Divide each side by '9'. x = 22.55555556 Simplifying x = 22.55555556
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