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Simplifying 3(2x + -2) + -3 = 3(x + -5) + 24 Reorder the terms: 3(-2 + 2x) + -3 = 3(x + -5) + 24 (-2 * 3 + 2x * 3) + -3 = 3(x + -5) + 24 (-6 + 6x) + -3 = 3(x + -5) + 24 Reorder the terms: -6 + -3 + 6x = 3(x + -5) + 24 Combine like terms: -6 + -3 = -9 -9 + 6x = 3(x + -5) + 24 Reorder the terms: -9 + 6x = 3(-5 + x) + 24 -9 + 6x = (-5 * 3 + x * 3) + 24 -9 + 6x = (-15 + 3x) + 24 Reorder the terms: -9 + 6x = -15 + 24 + 3x Combine like terms: -15 + 24 = 9 -9 + 6x = 9 + 3x Solving -9 + 6x = 9 + 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. -9 + 6x + -3x = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = 9 + 0 -9 + 3x = 9 Add '9' to each side of the equation. -9 + 9 + 3x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 9 + 9 3x = 9 + 9 Combine like terms: 9 + 9 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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