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Simplifying 3(2x + 6) + -10x = 45 + 5x Reorder the terms: 3(6 + 2x) + -10x = 45 + 5x (6 * 3 + 2x * 3) + -10x = 45 + 5x (18 + 6x) + -10x = 45 + 5x Combine like terms: 6x + -10x = -4x 18 + -4x = 45 + 5x Solving 18 + -4x = 45 + 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. 18 + -4x + -5x = 45 + 5x + -5x Combine like terms: -4x + -5x = -9x 18 + -9x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -9x = 45 + 0 18 + -9x = 45 Add '-18' to each side of the equation. 18 + -18 + -9x = 45 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 45 + -18 -9x = 45 + -18 Combine like terms: 45 + -18 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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