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Simplifying 14 + -1(3x + -4) = 7(3x + 3) + -3x Reorder the terms: 14 + -1(-4 + 3x) = 7(3x + 3) + -3x 14 + (-4 * -1 + 3x * -1) = 7(3x + 3) + -3x 14 + (4 + -3x) = 7(3x + 3) + -3x Combine like terms: 14 + 4 = 18 18 + -3x = 7(3x + 3) + -3x Reorder the terms: 18 + -3x = 7(3 + 3x) + -3x 18 + -3x = (3 * 7 + 3x * 7) + -3x 18 + -3x = (21 + 21x) + -3x Combine like terms: 21x + -3x = 18x 18 + -3x = 21 + 18x Solving 18 + -3x = 21 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 18 + -3x + -18x = 21 + 18x + -18x Combine like terms: -3x + -18x = -21x 18 + -21x = 21 + 18x + -18x Combine like terms: 18x + -18x = 0 18 + -21x = 21 + 0 18 + -21x = 21 Add '-18' to each side of the equation. 18 + -18 + -21x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = 21 + -18 -21x = 21 + -18 Combine like terms: 21 + -18 = 3 -21x = 3 Divide each side by '-21'. x = -0.1428571429 Simplifying x = -0.1428571429
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