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Simplifying -6(x + -2x) + 3 = -5(3x + -1x) + 8 + 15x Combine like terms: x + -2x = -1x -6(-1x) + 3 = -5(3x + -1x) + 8 + 15x Remove parenthesis around (-1x) -6 * -1x + 3 = -5(3x + -1x) + 8 + 15x Multiply -6 * -1 6x + 3 = -5(3x + -1x) + 8 + 15x Reorder the terms: 3 + 6x = -5(3x + -1x) + 8 + 15x Combine like terms: 3x + -1x = 2x 3 + 6x = -5(2x) + 8 + 15x Remove parenthesis around (2x) 3 + 6x = -5 * 2x + 8 + 15x Multiply -5 * 2 3 + 6x = -10x + 8 + 15x Reorder the terms: 3 + 6x = 8 + -10x + 15x Combine like terms: -10x + 15x = 5x 3 + 6x = 8 + 5x Solving 3 + 6x = 8 + 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. 3 + 6x + -5x = 8 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = 8 + 0 3 + 1x = 8 Add '-3' to each side of the equation. 3 + -3 + 1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 8 + -3 1x = 8 + -3 Combine like terms: 8 + -3 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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