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Simplifying 12x + 5x + -5 + -1(4 + -4x) = 3x + 10x + -10 + -7 12x + 5x + -5 + (4 * -1 + -4x * -1) = 3x + 10x + -10 + -7 12x + 5x + -5 + (-4 + 4x) = 3x + 10x + -10 + -7 Reorder the terms: -5 + -4 + 12x + 5x + 4x = 3x + 10x + -10 + -7 Combine like terms: -5 + -4 = -9 -9 + 12x + 5x + 4x = 3x + 10x + -10 + -7 Combine like terms: 12x + 5x = 17x -9 + 17x + 4x = 3x + 10x + -10 + -7 Combine like terms: 17x + 4x = 21x -9 + 21x = 3x + 10x + -10 + -7 Reorder the terms: -9 + 21x = -10 + -7 + 3x + 10x Combine like terms: -10 + -7 = -17 -9 + 21x = -17 + 3x + 10x Combine like terms: 3x + 10x = 13x -9 + 21x = -17 + 13x Solving -9 + 21x = -17 + 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 + 21x + -13x = -17 + 13x + -13x Combine like terms: 21x + -13x = 8x -9 + 8x = -17 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + 8x = -17 + 0 -9 + 8x = -17 Add '9' to each side of the equation. -9 + 9 + 8x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -17 + 9 8x = -17 + 9 Combine like terms: -17 + 9 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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