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Simplifying 3(2x + -6) + -5 = 3(x + -2) + 10 Reorder the terms: 3(-6 + 2x) + -5 = 3(x + -2) + 10 (-6 * 3 + 2x * 3) + -5 = 3(x + -2) + 10 (-18 + 6x) + -5 = 3(x + -2) + 10 Reorder the terms: -18 + -5 + 6x = 3(x + -2) + 10 Combine like terms: -18 + -5 = -23 -23 + 6x = 3(x + -2) + 10 Reorder the terms: -23 + 6x = 3(-2 + x) + 10 -23 + 6x = (-2 * 3 + x * 3) + 10 -23 + 6x = (-6 + 3x) + 10 Reorder the terms: -23 + 6x = -6 + 10 + 3x Combine like terms: -6 + 10 = 4 -23 + 6x = 4 + 3x Solving -23 + 6x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -23 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 3x = 4 + 0 -23 + 3x = 4 Add '23' to each side of the equation. -23 + 23 + 3x = 4 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 4 + 23 3x = 4 + 23 Combine like terms: 4 + 23 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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