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Simplifying -15(3x + 1) + -1x + -14 = 19 + -6(2x + 9) Reorder the terms: -15(1 + 3x) + -1x + -14 = 19 + -6(2x + 9) (1 * -15 + 3x * -15) + -1x + -14 = 19 + -6(2x + 9) (-15 + -45x) + -1x + -14 = 19 + -6(2x + 9) Reorder the terms: -15 + -14 + -45x + -1x = 19 + -6(2x + 9) Combine like terms: -15 + -14 = -29 -29 + -45x + -1x = 19 + -6(2x + 9) Combine like terms: -45x + -1x = -46x -29 + -46x = 19 + -6(2x + 9) Reorder the terms: -29 + -46x = 19 + -6(9 + 2x) -29 + -46x = 19 + (9 * -6 + 2x * -6) -29 + -46x = 19 + (-54 + -12x) Combine like terms: 19 + -54 = -35 -29 + -46x = -35 + -12x Solving -29 + -46x = -35 + -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. -29 + -46x + 12x = -35 + -12x + 12x Combine like terms: -46x + 12x = -34x -29 + -34x = -35 + -12x + 12x Combine like terms: -12x + 12x = 0 -29 + -34x = -35 + 0 -29 + -34x = -35 Add '29' to each side of the equation. -29 + 29 + -34x = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -34x = -35 + 29 -34x = -35 + 29 Combine like terms: -35 + 29 = -6 -34x = -6 Divide each side by '-34'. x = 0.1764705882 Simplifying x = 0.1764705882
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