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Simplifying -21(x + 1) + -14(x + -1) = 12x Reorder the terms: -21(1 + x) + -14(x + -1) = 12x (1 * -21 + x * -21) + -14(x + -1) = 12x (-21 + -21x) + -14(x + -1) = 12x Reorder the terms: -21 + -21x + -14(-1 + x) = 12x -21 + -21x + (-1 * -14 + x * -14) = 12x -21 + -21x + (14 + -14x) = 12x Reorder the terms: -21 + 14 + -21x + -14x = 12x Combine like terms: -21 + 14 = -7 -7 + -21x + -14x = 12x Combine like terms: -21x + -14x = -35x -7 + -35x = 12x Solving -7 + -35x = 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. -7 + -35x + -12x = 12x + -12x Combine like terms: -35x + -12x = -47x -7 + -47x = 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -47x = 0 Add '7' to each side of the equation. -7 + 7 + -47x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -47x = 0 + 7 -47x = 0 + 7 Combine like terms: 0 + 7 = 7 -47x = 7 Divide each side by '-47'. x = -0.1489361702 Simplifying x = -0.1489361702
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