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Simplifying 4x + -2 + 2(x + -1) = 3(3x + 3) + 5 Reorder the terms: 4x + -2 + 2(-1 + x) = 3(3x + 3) + 5 4x + -2 + (-1 * 2 + x * 2) = 3(3x + 3) + 5 4x + -2 + (-2 + 2x) = 3(3x + 3) + 5 Reorder the terms: -2 + -2 + 4x + 2x = 3(3x + 3) + 5 Combine like terms: -2 + -2 = -4 -4 + 4x + 2x = 3(3x + 3) + 5 Combine like terms: 4x + 2x = 6x -4 + 6x = 3(3x + 3) + 5 Reorder the terms: -4 + 6x = 3(3 + 3x) + 5 -4 + 6x = (3 * 3 + 3x * 3) + 5 -4 + 6x = (9 + 9x) + 5 Reorder the terms: -4 + 6x = 9 + 5 + 9x Combine like terms: 9 + 5 = 14 -4 + 6x = 14 + 9x Solving -4 + 6x = 14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 6x + -9x = 14 + 9x + -9x Combine like terms: 6x + -9x = -3x -4 + -3x = 14 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -3x = 14 + 0 -4 + -3x = 14 Add '4' to each side of the equation. -4 + 4 + -3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 14 + 4 -3x = 14 + 4 Combine like terms: 14 + 4 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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