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Simplifying 3(5 + -6x) = x + -152 (5 * 3 + -6x * 3) = x + -152 (15 + -18x) = x + -152 Reorder the terms: 15 + -18x = -152 + x Solving 15 + -18x = -152 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -18x + -1x = -152 + x + -1x Combine like terms: -18x + -1x = -19x 15 + -19x = -152 + x + -1x Combine like terms: x + -1x = 0 15 + -19x = -152 + 0 15 + -19x = -152 Add '-15' to each side of the equation. 15 + -15 + -19x = -152 + -15 Combine like terms: 15 + -15 = 0 0 + -19x = -152 + -15 -19x = -152 + -15 Combine like terms: -152 + -15 = -167 -19x = -167 Divide each side by '-19'. x = 8.789473684 Simplifying x = 8.789473684
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