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Simplifying 3(15 + -1x) = 5x + -11 (15 * 3 + -1x * 3) = 5x + -11 (45 + -3x) = 5x + -11 Reorder the terms: 45 + -3x = -11 + 5x Solving 45 + -3x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -3x + -5x = -11 + 5x + -5x Combine like terms: -3x + -5x = -8x 45 + -8x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -8x = -11 + 0 45 + -8x = -11 Add '-45' to each side of the equation. 45 + -45 + -8x = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = -11 + -45 -8x = -11 + -45 Combine like terms: -11 + -45 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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