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Simplifying (3x + -2) * 2 = 9(x + 1) * 2 Reorder the terms: (-2 + 3x) * 2 = 9(x + 1) * 2 Reorder the terms for easier multiplication: 2(-2 + 3x) = 9(x + 1) * 2 (-2 * 2 + 3x * 2) = 9(x + 1) * 2 (-4 + 6x) = 9(x + 1) * 2 Reorder the terms: -4 + 6x = 9(1 + x) * 2 Reorder the terms for easier multiplication: -4 + 6x = 9 * 2(1 + x) Multiply 9 * 2 -4 + 6x = 18(1 + x) -4 + 6x = (1 * 18 + x * 18) -4 + 6x = (18 + 18x) Solving -4 + 6x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 6x + -18x = 18 + 18x + -18x Combine like terms: 6x + -18x = -12x -4 + -12x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + -12x = 18 + 0 -4 + -12x = 18 Add '4' to each side of the equation. -4 + 4 + -12x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 18 + 4 -12x = 18 + 4 Combine like terms: 18 + 4 = 22 -12x = 22 Divide each side by '-12'. x = -1.833333333 Simplifying x = -1.833333333
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