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Simplifying 4(3x + -5) = 7(2x + 4) Reorder the terms: 4(-5 + 3x) = 7(2x + 4) (-5 * 4 + 3x * 4) = 7(2x + 4) (-20 + 12x) = 7(2x + 4) Reorder the terms: -20 + 12x = 7(4 + 2x) -20 + 12x = (4 * 7 + 2x * 7) -20 + 12x = (28 + 14x) Solving -20 + 12x = 28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 12x + -14x = 28 + 14x + -14x Combine like terms: 12x + -14x = -2x -20 + -2x = 28 + 14x + -14x Combine like terms: 14x + -14x = 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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