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Simplifying [4(x + 2)] + (5x + -7) = 118 Reorder the terms: [4(2 + x)] + (5x + -7) = 118 [(2 * 4 + x * 4)] + (5x + -7) = 118 [(8 + 4x)] + (5x + -7) = 118 [8 + 4x] + (5x + -7) = 118 Remove brackets around [8 + 4x] 8 + 4x + (5x + -7) = 118 Reorder the terms: 8 + 4x + (-7 + 5x) = 118 Remove parenthesis around (-7 + 5x) 8 + 4x + -7 + 5x = 118 Reorder the terms: 8 + -7 + 4x + 5x = 118 Combine like terms: 8 + -7 = 1 1 + 4x + 5x = 118 Combine like terms: 4x + 5x = 9x 1 + 9x = 118 Solving 1 + 9x = 118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 118 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 118 + -1 9x = 118 + -1 Combine like terms: 118 + -1 = 117 9x = 117 Divide each side by '9'. x = 13 Simplifying x = 13
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