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Simplifying 62 + [4(x + 2)] + (5x + -7) = 180 Reorder the terms: 62 + [4(2 + x)] + (5x + -7) = 180 62 + [(2 * 4 + x * 4)] + (5x + -7) = 180 62 + [(8 + 4x)] + (5x + -7) = 180 62 + [8 + 4x] + (5x + -7) = 180 Remove brackets around [8 + 4x] 62 + 8 + 4x + (5x + -7) = 180 Reorder the terms: 62 + 8 + 4x + (-7 + 5x) = 180 Remove parenthesis around (-7 + 5x) 62 + 8 + 4x + -7 + 5x = 180 Reorder the terms: 62 + 8 + -7 + 4x + 5x = 180 Combine like terms: 62 + 8 = 70 70 + -7 + 4x + 5x = 180 Combine like terms: 70 + -7 = 63 63 + 4x + 5x = 180 Combine like terms: 4x + 5x = 9x 63 + 9x = 180 Solving 63 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 9x = 180 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 180 + -63 9x = 180 + -63 Combine like terms: 180 + -63 = 117 9x = 117 Divide each side by '9'. x = 13 Simplifying x = 13
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