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Simplifying -3(x + -4x) + 5 = -4(2x + -1x) + 2 + 12x Combine like terms: x + -4x = -3x -3(-3x) + 5 = -4(2x + -1x) + 2 + 12x Remove parenthesis around (-3x) -3 * -3x + 5 = -4(2x + -1x) + 2 + 12x Multiply -3 * -3 9x + 5 = -4(2x + -1x) + 2 + 12x Reorder the terms: 5 + 9x = -4(2x + -1x) + 2 + 12x Combine like terms: 2x + -1x = 1x 5 + 9x = -4(1x) + 2 + 12x Remove parenthesis around (1x) 5 + 9x = -4 * 1x + 2 + 12x Multiply -4 * 1 5 + 9x = -4x + 2 + 12x Reorder the terms: 5 + 9x = 2 + -4x + 12x Combine like terms: -4x + 12x = 8x 5 + 9x = 2 + 8x Solving 5 + 9x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 5 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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