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Simplifying (6x + 5) + 2(4x + -2) + (8x + 21) = 180 Reorder the terms: (5 + 6x) + 2(4x + -2) + (8x + 21) = 180 Remove parenthesis around (5 + 6x) 5 + 6x + 2(4x + -2) + (8x + 21) = 180 Reorder the terms: 5 + 6x + 2(-2 + 4x) + (8x + 21) = 180 5 + 6x + (-2 * 2 + 4x * 2) + (8x + 21) = 180 5 + 6x + (-4 + 8x) + (8x + 21) = 180 Reorder the terms: 5 + 6x + -4 + 8x + (21 + 8x) = 180 Remove parenthesis around (21 + 8x) 5 + 6x + -4 + 8x + 21 + 8x = 180 Reorder the terms: 5 + -4 + 21 + 6x + 8x + 8x = 180 Combine like terms: 5 + -4 = 1 1 + 21 + 6x + 8x + 8x = 180 Combine like terms: 1 + 21 = 22 22 + 6x + 8x + 8x = 180 Combine like terms: 6x + 8x = 14x 22 + 14x + 8x = 180 Combine like terms: 14x + 8x = 22x 22 + 22x = 180 Solving 22 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 22x = 180 + -22 Combine like terms: 22 + -22 = 0 0 + 22x = 180 + -22 22x = 180 + -22 Combine like terms: 180 + -22 = 158 22x = 158 Divide each side by '22'. x = 7.181818182 Simplifying x = 7.181818182
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