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Simplifying -2(x + -4x) + 6 = -2(6x + -1x) + 3 + 15x Combine like terms: x + -4x = -3x -2(-3x) + 6 = -2(6x + -1x) + 3 + 15x Remove parenthesis around (-3x) -2 * -3x + 6 = -2(6x + -1x) + 3 + 15x Multiply -2 * -3 6x + 6 = -2(6x + -1x) + 3 + 15x Reorder the terms: 6 + 6x = -2(6x + -1x) + 3 + 15x Combine like terms: 6x + -1x = 5x 6 + 6x = -2(5x) + 3 + 15x Remove parenthesis around (5x) 6 + 6x = -2 * 5x + 3 + 15x Multiply -2 * 5 6 + 6x = -10x + 3 + 15x Reorder the terms: 6 + 6x = 3 + -10x + 15x Combine like terms: -10x + 15x = 5x 6 + 6x = 3 + 5x Solving 6 + 6x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 6x + -5x = 3 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 3 + 0 6 + 1x = 3 Add '-6' to each side of the equation. 6 + -6 + 1x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 3 + -6 1x = 3 + -6 Combine like terms: 3 + -6 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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