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Simplifying 4(7 + -3x) = -5(2x + 4) (7 * 4 + -3x * 4) = -5(2x + 4) (28 + -12x) = -5(2x + 4) Reorder the terms: 28 + -12x = -5(4 + 2x) 28 + -12x = (4 * -5 + 2x * -5) 28 + -12x = (-20 + -10x) Solving 28 + -12x = -20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + -12x + 10x = -20 + -10x + 10x Combine like terms: -12x + 10x = -2x 28 + -2x = -20 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + -2x = -20 + 0 28 + -2x = -20 Add '-28' to each side of the equation. 28 + -28 + -2x = -20 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = -20 + -28 -2x = -20 + -28 Combine like terms: -20 + -28 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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