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Simplifying 3(x + -6) + 2x = 2x + 21 Reorder the terms: 3(-6 + x) + 2x = 2x + 21 (-6 * 3 + x * 3) + 2x = 2x + 21 (-18 + 3x) + 2x = 2x + 21 Combine like terms: 3x + 2x = 5x -18 + 5x = 2x + 21 Reorder the terms: -18 + 5x = 21 + 2x Solving -18 + 5x = 21 + 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. -18 + 5x + -2x = 21 + 2x + -2x Combine like terms: 5x + -2x = 3x -18 + 3x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 3x = 21 + 0 -18 + 3x = 21 Add '18' to each side of the equation. -18 + 18 + 3x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 21 + 18 3x = 21 + 18 Combine like terms: 21 + 18 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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