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Simplifying 5(-3x + 1) + -2x + 1 = -147 Reorder the terms: 5(1 + -3x) + -2x + 1 = -147 (1 * 5 + -3x * 5) + -2x + 1 = -147 (5 + -15x) + -2x + 1 = -147 Reorder the terms: 5 + 1 + -15x + -2x = -147 Combine like terms: 5 + 1 = 6 6 + -15x + -2x = -147 Combine like terms: -15x + -2x = -17x 6 + -17x = -147 Solving 6 + -17x = -147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -17x = -147 + -6 Combine like terms: 6 + -6 = 0 0 + -17x = -147 + -6 -17x = -147 + -6 Combine like terms: -147 + -6 = -153 -17x = -153 Divide each side by '-17'. x = 9 Simplifying x = 9
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