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Simplifying (-76) = 4x + 6(5x + 27) -76 = 4x + 6(5x + 27) Reorder the terms: -76 = 4x + 6(27 + 5x) -76 = 4x + (27 * 6 + 5x * 6) -76 = 4x + (162 + 30x) Reorder the terms: -76 = 162 + 4x + 30x Combine like terms: 4x + 30x = 34x -76 = 162 + 34x Solving -76 = 162 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -76 + -34x = 162 + 34x + -34x Combine like terms: 34x + -34x = 0 -76 + -34x = 162 + 0 -76 + -34x = 162 Add '76' to each side of the equation. -76 + 76 + -34x = 162 + 76 Combine like terms: -76 + 76 = 0 0 + -34x = 162 + 76 -34x = 162 + 76 Combine like terms: 162 + 76 = 238 -34x = 238 Divide each side by '-34'. x = -7 Simplifying x = -7
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