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Simplifying 4(2x + -5) = 3(4x + 7) Reorder the terms: 4(-5 + 2x) = 3(4x + 7) (-5 * 4 + 2x * 4) = 3(4x + 7) (-20 + 8x) = 3(4x + 7) Reorder the terms: -20 + 8x = 3(7 + 4x) -20 + 8x = (7 * 3 + 4x * 3) -20 + 8x = (21 + 12x) Solving -20 + 8x = 21 + 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 + 8x + -12x = 21 + 12x + -12x Combine like terms: 8x + -12x = -4x -20 + -4x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -4x = 21 + 0 -20 + -4x = 21 Add '20' to each side of the equation. -20 + 20 + -4x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 21 + 20 -4x = 21 + 20 Combine like terms: 21 + 20 = 41 -4x = 41 Divide each side by '-4'. x = -10.25 Simplifying x = -10.25
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