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Simplifying x + -132 = -1(5x) + 42 Reorder the terms: -132 + x = -1(5x) + 42 Remove parenthesis around (5x) -132 + x = -1 * 5x + 42 Multiply -1 * 5 -132 + x = -5x + 42 Reorder the terms: -132 + x = 42 + -5x Solving -132 + x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -132 + x + 5x = 42 + -5x + 5x Combine like terms: x + 5x = 6x -132 + 6x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -132 + 6x = 42 + 0 -132 + 6x = 42 Add '132' to each side of the equation. -132 + 132 + 6x = 42 + 132 Combine like terms: -132 + 132 = 0 0 + 6x = 42 + 132 6x = 42 + 132 Combine like terms: 42 + 132 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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