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Simplifying 3(45 + -6x) = x + -152 (45 * 3 + -6x * 3) = x + -152 (135 + -18x) = x + -152 Reorder the terms: 135 + -18x = -152 + x Solving 135 + -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. 135 + -18x + -1x = -152 + x + -1x Combine like terms: -18x + -1x = -19x 135 + -19x = -152 + x + -1x Combine like terms: x + -1x = 0 135 + -19x = -152 + 0 135 + -19x = -152 Add '-135' to each side of the equation. 135 + -135 + -19x = -152 + -135 Combine like terms: 135 + -135 = 0 0 + -19x = -152 + -135 -19x = -152 + -135 Combine like terms: -152 + -135 = -287 -19x = -287 Divide each side by '-19'. x = 15.10526316 Simplifying x = 15.10526316
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