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Simplifying 2x + -6 + 2(2x + -6) + 0.5(2x + -6) + 5 = 180 Reorder the terms: 2x + -6 + 2(-6 + 2x) + 0.5(2x + -6) + 5 = 180 2x + -6 + (-6 * 2 + 2x * 2) + 0.5(2x + -6) + 5 = 180 2x + -6 + (-12 + 4x) + 0.5(2x + -6) + 5 = 180 Reorder the terms: 2x + -6 + -12 + 4x + 0.5(-6 + 2x) + 5 = 180 2x + -6 + -12 + 4x + (-6 * 0.5 + 2x * 0.5) + 5 = 180 2x + -6 + -12 + 4x + (-3 + 1x) + 5 = 180 Reorder the terms: -6 + -12 + -3 + 5 + 2x + 4x + 1x = 180 Combine like terms: -6 + -12 = -18 -18 + -3 + 5 + 2x + 4x + 1x = 180 Combine like terms: -18 + -3 = -21 -21 + 5 + 2x + 4x + 1x = 180 Combine like terms: -21 + 5 = -16 -16 + 2x + 4x + 1x = 180 Combine like terms: 2x + 4x = 6x -16 + 6x + 1x = 180 Combine like terms: 6x + 1x = 7x -16 + 7x = 180 Solving -16 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7x = 180 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 180 + 16 7x = 180 + 16 Combine like terms: 180 + 16 = 196 7x = 196 Divide each side by '7'. x = 28 Simplifying x = 28
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