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