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Simplifying -2(x + -3x) + 8 = -6(3x + -1x) + 1 + 15x Combine like terms: x + -3x = -2x -2(-2x) + 8 = -6(3x + -1x) + 1 + 15x Remove parenthesis around (-2x) -2 * -2x + 8 = -6(3x + -1x) + 1 + 15x Multiply -2 * -2 4x + 8 = -6(3x + -1x) + 1 + 15x Reorder the terms: 8 + 4x = -6(3x + -1x) + 1 + 15x Combine like terms: 3x + -1x = 2x 8 + 4x = -6(2x) + 1 + 15x Remove parenthesis around (2x) 8 + 4x = -6 * 2x + 1 + 15x Multiply -6 * 2 8 + 4x = -12x + 1 + 15x Reorder the terms: 8 + 4x = 1 + -12x + 15x Combine like terms: -12x + 15x = 3x 8 + 4x = 1 + 3x Solving 8 + 4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 1 + 0 8 + 1x = 1 Add '-8' to each side of the equation. 8 + -8 + 1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 1 + -8 1x = 1 + -8 Combine like terms: 1 + -8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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