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Simplifying 6x + -7x + -5 + 1x + -4 = -2x + x + -14 + -4 + -12x Reorder the terms: -5 + -4 + 6x + -7x + 1x = -2x + x + -14 + -4 + -12x Combine like terms: -5 + -4 = -9 -9 + 6x + -7x + 1x = -2x + x + -14 + -4 + -12x Combine like terms: 6x + -7x = -1x -9 + -1x + 1x = -2x + x + -14 + -4 + -12x Combine like terms: -1x + 1x = 0 -9 + 0 = -2x + x + -14 + -4 + -12x -9 = -2x + x + -14 + -4 + -12x Reorder the terms: -9 = -14 + -4 + -2x + x + -12x Combine like terms: -14 + -4 = -18 -9 = -18 + -2x + x + -12x Combine like terms: -2x + x = -1x -9 = -18 + -1x + -12x Combine like terms: -1x + -12x = -13x -9 = -18 + -13x Solving -9 = -18 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -9 + 13x = -18 + -13x + 13x Combine like terms: -13x + 13x = 0 -9 + 13x = -18 + 0 -9 + 13x = -18 Add '9' to each side of the equation. -9 + 9 + 13x = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = -18 + 9 13x = -18 + 9 Combine like terms: -18 + 9 = -9 13x = -9 Divide each side by '13'. x = -0.6923076923 Simplifying x = -0.6923076923
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