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Simplifying -132 = 7(1 + 4x) + 1 -132 = (1 * 7 + 4x * 7) + 1 -132 = (7 + 28x) + 1 Reorder the terms: -132 = 7 + 1 + 28x Combine like terms: 7 + 1 = 8 -132 = 8 + 28x Solving -132 = 8 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -132 + -28x = 8 + 28x + -28x Combine like terms: 28x + -28x = 0 -132 + -28x = 8 + 0 -132 + -28x = 8 Add '132' to each side of the equation. -132 + 132 + -28x = 8 + 132 Combine like terms: -132 + 132 = 0 0 + -28x = 8 + 132 -28x = 8 + 132 Combine like terms: 8 + 132 = 140 -28x = 140 Divide each side by '-28'. x = -5 Simplifying x = -5
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