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Simplifying 3(x + 15) = 2x + -6 Reorder the terms: 3(15 + x) = 2x + -6 (15 * 3 + x * 3) = 2x + -6 (45 + 3x) = 2x + -6 Reorder the terms: 45 + 3x = -6 + 2x Solving 45 + 3x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 45 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 1x = -6 + 0 45 + 1x = -6 Add '-45' to each side of the equation. 45 + -45 + 1x = -6 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = -6 + -45 1x = -6 + -45 Combine like terms: -6 + -45 = -51 1x = -51 Divide each side by '1'. x = -51 Simplifying x = -51
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