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Simplifying 147 = 5x + 7(4x + -12) Reorder the terms: 147 = 5x + 7(-12 + 4x) 147 = 5x + (-12 * 7 + 4x * 7) 147 = 5x + (-84 + 28x) Reorder the terms: 147 = -84 + 5x + 28x Combine like terms: 5x + 28x = 33x 147 = -84 + 33x Solving 147 = -84 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 147 + -33x = -84 + 33x + -33x Combine like terms: 33x + -33x = 0 147 + -33x = -84 + 0 147 + -33x = -84 Add '-147' to each side of the equation. 147 + -147 + -33x = -84 + -147 Combine like terms: 147 + -147 = 0 0 + -33x = -84 + -147 -33x = -84 + -147 Combine like terms: -84 + -147 = -231 -33x = -231 Divide each side by '-33'. x = 7 Simplifying x = 7
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