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Simplifying 8x + 4 + -18x + -12 + -1x + 2 = 15x + 21 Reorder the terms: 4 + -12 + 2 + 8x + -18x + -1x = 15x + 21 Combine like terms: 4 + -12 = -8 -8 + 2 + 8x + -18x + -1x = 15x + 21 Combine like terms: -8 + 2 = -6 -6 + 8x + -18x + -1x = 15x + 21 Combine like terms: 8x + -18x = -10x -6 + -10x + -1x = 15x + 21 Combine like terms: -10x + -1x = -11x -6 + -11x = 15x + 21 Reorder the terms: -6 + -11x = 21 + 15x Solving -6 + -11x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + -11x + -15x = 21 + 15x + -15x Combine like terms: -11x + -15x = -26x -6 + -26x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -26x = 21 + 0 -6 + -26x = 21 Add '6' to each side of the equation. -6 + 6 + -26x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -26x = 21 + 6 -26x = 21 + 6 Combine like terms: 21 + 6 = 27 -26x = 27 Divide each side by '-26'. x = -1.038461538 Simplifying x = -1.038461538
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