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Simplifying -147 = -7(4x + 1) Reorder the terms: -147 = -7(1 + 4x) -147 = (1 * -7 + 4x * -7) -147 = (-7 + -28x) Solving -147 = -7 + -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. -147 + 28x = -7 + -28x + 28x Combine like terms: -28x + 28x = 0 -147 + 28x = -7 + 0 -147 + 28x = -7 Add '147' to each side of the equation. -147 + 147 + 28x = -7 + 147 Combine like terms: -147 + 147 = 0 0 + 28x = -7 + 147 28x = -7 + 147 Combine like terms: -7 + 147 = 140 28x = 140 Divide each side by '28'. x = 5 Simplifying x = 5
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