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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 = 7x -7 + 7x = 12x Solving -7 + 7x = 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 + 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x -7 + -5x = 12x + -12x Combine like terms: 12x + -12x = 0 -7 + -5x = 0 Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4
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