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Simplifying 2(3x + -3) + 2(x + -3) = 2(2x + -1) + 2 Reorder the terms: 2(-3 + 3x) + 2(x + -3) = 2(2x + -1) + 2 (-3 * 2 + 3x * 2) + 2(x + -3) = 2(2x + -1) + 2 (-6 + 6x) + 2(x + -3) = 2(2x + -1) + 2 Reorder the terms: -6 + 6x + 2(-3 + x) = 2(2x + -1) + 2 -6 + 6x + (-3 * 2 + x * 2) = 2(2x + -1) + 2 -6 + 6x + (-6 + 2x) = 2(2x + -1) + 2 Reorder the terms: -6 + -6 + 6x + 2x = 2(2x + -1) + 2 Combine like terms: -6 + -6 = -12 -12 + 6x + 2x = 2(2x + -1) + 2 Combine like terms: 6x + 2x = 8x -12 + 8x = 2(2x + -1) + 2 Reorder the terms: -12 + 8x = 2(-1 + 2x) + 2 -12 + 8x = (-1 * 2 + 2x * 2) + 2 -12 + 8x = (-2 + 4x) + 2 Reorder the terms: -12 + 8x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 -12 + 8x = 0 + 4x -12 + 8x = 4x Solving -12 + 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x -12 + 4x = 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 4x = 0 Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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