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Simplifying -147 = -7x + 7(5x + 3) Reorder the terms: -147 = -7x + 7(3 + 5x) -147 = -7x + (3 * 7 + 5x * 7) -147 = -7x + (21 + 35x) Reorder the terms: -147 = 21 + -7x + 35x Combine like terms: -7x + 35x = 28x -147 = 21 + 28x Solving -147 = 21 + 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 = 21 + 28x + -28x Combine like terms: 28x + -28x = 0 -147 + -28x = 21 + 0 -147 + -28x = 21 Add '147' to each side of the equation. -147 + 147 + -28x = 21 + 147 Combine like terms: -147 + 147 = 0 0 + -28x = 21 + 147 -28x = 21 + 147 Combine like terms: 21 + 147 = 168 -28x = 168 Divide each side by '-28'. x = -6 Simplifying x = -6
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