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Simplifying 3(2x + -3) + -3 = 3(x + -2) + 3 Reorder the terms: 3(-3 + 2x) + -3 = 3(x + -2) + 3 (-3 * 3 + 2x * 3) + -3 = 3(x + -2) + 3 (-9 + 6x) + -3 = 3(x + -2) + 3 Reorder the terms: -9 + -3 + 6x = 3(x + -2) + 3 Combine like terms: -9 + -3 = -12 -12 + 6x = 3(x + -2) + 3 Reorder the terms: -12 + 6x = 3(-2 + x) + 3 -12 + 6x = (-2 * 3 + x * 3) + 3 -12 + 6x = (-6 + 3x) + 3 Reorder the terms: -12 + 6x = -6 + 3 + 3x Combine like terms: -6 + 3 = -3 -12 + 6x = -3 + 3x Solving -12 + 6x = -3 + 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. -12 + 6x + -3x = -3 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = -3 + 0 -12 + 3x = -3 Add '12' to each side of the equation. -12 + 12 + 3x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -3 + 12 3x = -3 + 12 Combine like terms: -3 + 12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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