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Simplifying 2(3x + -3) + 2(x + -3) = 2x + 1 + 2x + 1 + 2x Reorder the terms: 2(-3 + 3x) + 2(x + -3) = 2x + 1 + 2x + 1 + 2x (-3 * 2 + 3x * 2) + 2(x + -3) = 2x + 1 + 2x + 1 + 2x (-6 + 6x) + 2(x + -3) = 2x + 1 + 2x + 1 + 2x Reorder the terms: -6 + 6x + 2(-3 + x) = 2x + 1 + 2x + 1 + 2x -6 + 6x + (-3 * 2 + x * 2) = 2x + 1 + 2x + 1 + 2x -6 + 6x + (-6 + 2x) = 2x + 1 + 2x + 1 + 2x Reorder the terms: -6 + -6 + 6x + 2x = 2x + 1 + 2x + 1 + 2x Combine like terms: -6 + -6 = -12 -12 + 6x + 2x = 2x + 1 + 2x + 1 + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 2x + 1 + 2x + 1 + 2x Reorder the terms: -12 + 8x = 1 + 1 + 2x + 2x + 2x Combine like terms: 1 + 1 = 2 -12 + 8x = 2 + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x -12 + 8x = 2 + 4x + 2x Combine like terms: 4x + 2x = 6x -12 + 8x = 2 + 6x Solving -12 + 8x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 8x + -6x = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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