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Simplifying 7(-3x + 4) = 5(-4x + -6) Reorder the terms: 7(4 + -3x) = 5(-4x + -6) (4 * 7 + -3x * 7) = 5(-4x + -6) (28 + -21x) = 5(-4x + -6) Reorder the terms: 28 + -21x = 5(-6 + -4x) 28 + -21x = (-6 * 5 + -4x * 5) 28 + -21x = (-30 + -20x) Solving 28 + -21x = -30 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 28 + -21x + 20x = -30 + -20x + 20x Combine like terms: -21x + 20x = -1x 28 + -1x = -30 + -20x + 20x Combine like terms: -20x + 20x = 0 28 + -1x = -30 + 0 28 + -1x = -30 Add '-28' to each side of the equation. 28 + -28 + -1x = -30 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = -30 + -28 -1x = -30 + -28 Combine like terms: -30 + -28 = -58 -1x = -58 Divide each side by '-1'. x = 58 Simplifying x = 58
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