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Simplifying x + -7 + -12x + -9x + -9 + 3x = 14x + -10 + -1x + 7 Reorder the terms: -7 + -9 + x + -12x + -9x + 3x = 14x + -10 + -1x + 7 Combine like terms: -7 + -9 = -16 -16 + x + -12x + -9x + 3x = 14x + -10 + -1x + 7 Combine like terms: x + -12x = -11x -16 + -11x + -9x + 3x = 14x + -10 + -1x + 7 Combine like terms: -11x + -9x = -20x -16 + -20x + 3x = 14x + -10 + -1x + 7 Combine like terms: -20x + 3x = -17x -16 + -17x = 14x + -10 + -1x + 7 Reorder the terms: -16 + -17x = -10 + 7 + 14x + -1x Combine like terms: -10 + 7 = -3 -16 + -17x = -3 + 14x + -1x Combine like terms: 14x + -1x = 13x -16 + -17x = -3 + 13x Solving -16 + -17x = -3 + 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. -16 + -17x + -13x = -3 + 13x + -13x Combine like terms: -17x + -13x = -30x -16 + -30x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 -16 + -30x = -3 + 0 -16 + -30x = -3 Add '16' to each side of the equation. -16 + 16 + -30x = -3 + 16 Combine like terms: -16 + 16 = 0 0 + -30x = -3 + 16 -30x = -3 + 16 Combine like terms: -3 + 16 = 13 -30x = 13 Divide each side by '-30'. x = -0.4333333333 Simplifying x = -0.4333333333
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