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Simplifying 3(6x + 30) = 5(x + 6) + -2 Reorder the terms: 3(30 + 6x) = 5(x + 6) + -2 (30 * 3 + 6x * 3) = 5(x + 6) + -2 (90 + 18x) = 5(x + 6) + -2 Reorder the terms: 90 + 18x = 5(6 + x) + -2 90 + 18x = (6 * 5 + x * 5) + -2 90 + 18x = (30 + 5x) + -2 Reorder the terms: 90 + 18x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 90 + 18x = 28 + 5x Solving 90 + 18x = 28 + 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. 90 + 18x + -5x = 28 + 5x + -5x Combine like terms: 18x + -5x = 13x 90 + 13x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + 13x = 28 + 0 90 + 13x = 28 Add '-90' to each side of the equation. 90 + -90 + 13x = 28 + -90 Combine like terms: 90 + -90 = 0 0 + 13x = 28 + -90 13x = 28 + -90 Combine like terms: 28 + -90 = -62 13x = -62 Divide each side by '13'. x = -4.769230769 Simplifying x = -4.769230769
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