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Simplifying 3(-11x + 4) + 15 = -9x + 171 Reorder the terms: 3(4 + -11x) + 15 = -9x + 171 (4 * 3 + -11x * 3) + 15 = -9x + 171 (12 + -33x) + 15 = -9x + 171 Reorder the terms: 12 + 15 + -33x = -9x + 171 Combine like terms: 12 + 15 = 27 27 + -33x = -9x + 171 Reorder the terms: 27 + -33x = 171 + -9x Solving 27 + -33x = 171 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 27 + -33x + 9x = 171 + -9x + 9x Combine like terms: -33x + 9x = -24x 27 + -24x = 171 + -9x + 9x Combine like terms: -9x + 9x = 0 27 + -24x = 171 + 0 27 + -24x = 171 Add '-27' to each side of the equation. 27 + -27 + -24x = 171 + -27 Combine like terms: 27 + -27 = 0 0 + -24x = 171 + -27 -24x = 171 + -27 Combine like terms: 171 + -27 = 144 -24x = 144 Divide each side by '-24'. x = -6 Simplifying x = -6
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