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Simplifying -42 + 3(x + 8) + -25x = 12 + 13x + -1x + 14 Reorder the terms: -42 + 3(8 + x) + -25x = 12 + 13x + -1x + 14 -42 + (8 * 3 + x * 3) + -25x = 12 + 13x + -1x + 14 -42 + (24 + 3x) + -25x = 12 + 13x + -1x + 14 Combine like terms: -42 + 24 = -18 -18 + 3x + -25x = 12 + 13x + -1x + 14 Combine like terms: 3x + -25x = -22x -18 + -22x = 12 + 13x + -1x + 14 Reorder the terms: -18 + -22x = 12 + 14 + 13x + -1x Combine like terms: 12 + 14 = 26 -18 + -22x = 26 + 13x + -1x Combine like terms: 13x + -1x = 12x -18 + -22x = 26 + 12x Solving -18 + -22x = 26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + -22x + -12x = 26 + 12x + -12x Combine like terms: -22x + -12x = -34x -18 + -34x = 26 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -34x = 26 + 0 -18 + -34x = 26 Add '18' to each side of the equation. -18 + 18 + -34x = 26 + 18 Combine like terms: -18 + 18 = 0 0 + -34x = 26 + 18 -34x = 26 + 18 Combine like terms: 26 + 18 = 44 -34x = 44 Divide each side by '-34'. x = -1.294117647 Simplifying x = -1.294117647
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