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Simplifying 2(3x + -3) + 2 = 2(x + 9) Reorder the terms: 2(-3 + 3x) + 2 = 2(x + 9) (-3 * 2 + 3x * 2) + 2 = 2(x + 9) (-6 + 6x) + 2 = 2(x + 9) Reorder the terms: -6 + 2 + 6x = 2(x + 9) Combine like terms: -6 + 2 = -4 -4 + 6x = 2(x + 9) Reorder the terms: -4 + 6x = 2(9 + x) -4 + 6x = (9 * 2 + x * 2) -4 + 6x = (18 + 2x) Solving -4 + 6x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = 18 + 0 -4 + 4x = 18 Add '4' to each side of the equation. -4 + 4 + 4x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 18 + 4 4x = 18 + 4 Combine like terms: 18 + 4 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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