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Simplifying 2(x + -2) + 10(x + 2) + (3x + -8) = 180 Reorder the terms: 2(-2 + x) + 10(x + 2) + (3x + -8) = 180 (-2 * 2 + x * 2) + 10(x + 2) + (3x + -8) = 180 (-4 + 2x) + 10(x + 2) + (3x + -8) = 180 Reorder the terms: -4 + 2x + 10(2 + x) + (3x + -8) = 180 -4 + 2x + (2 * 10 + x * 10) + (3x + -8) = 180 -4 + 2x + (20 + 10x) + (3x + -8) = 180 Reorder the terms: -4 + 2x + 20 + 10x + (-8 + 3x) = 180 Remove parenthesis around (-8 + 3x) -4 + 2x + 20 + 10x + -8 + 3x = 180 Reorder the terms: -4 + 20 + -8 + 2x + 10x + 3x = 180 Combine like terms: -4 + 20 = 16 16 + -8 + 2x + 10x + 3x = 180 Combine like terms: 16 + -8 = 8 8 + 2x + 10x + 3x = 180 Combine like terms: 2x + 10x = 12x 8 + 12x + 3x = 180 Combine like terms: 12x + 3x = 15x 8 + 15x = 180 Solving 8 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15x = 180 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 180 + -8 15x = 180 + -8 Combine like terms: 180 + -8 = 172 15x = 172 Divide each side by '15'. x = 11.46666667 Simplifying x = 11.46666667
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