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Simplifying 3(3x + -6) + -2 = 3(x + -5) + 43 Reorder the terms: 3(-6 + 3x) + -2 = 3(x + -5) + 43 (-6 * 3 + 3x * 3) + -2 = 3(x + -5) + 43 (-18 + 9x) + -2 = 3(x + -5) + 43 Reorder the terms: -18 + -2 + 9x = 3(x + -5) + 43 Combine like terms: -18 + -2 = -20 -20 + 9x = 3(x + -5) + 43 Reorder the terms: -20 + 9x = 3(-5 + x) + 43 -20 + 9x = (-5 * 3 + x * 3) + 43 -20 + 9x = (-15 + 3x) + 43 Reorder the terms: -20 + 9x = -15 + 43 + 3x Combine like terms: -15 + 43 = 28 -20 + 9x = 28 + 3x Solving -20 + 9x = 28 + 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. -20 + 9x + -3x = 28 + 3x + -3x Combine like terms: 9x + -3x = 6x -20 + 6x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 6x = 28 + 0 -20 + 6x = 28 Add '20' to each side of the equation. -20 + 20 + 6x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 28 + 20 6x = 28 + 20 Combine like terms: 28 + 20 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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