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Simplifying 4(3x + -5) = 4(2x + -7) Reorder the terms: 4(-5 + 3x) = 4(2x + -7) (-5 * 4 + 3x * 4) = 4(2x + -7) (-20 + 12x) = 4(2x + -7) Reorder the terms: -20 + 12x = 4(-7 + 2x) -20 + 12x = (-7 * 4 + 2x * 4) -20 + 12x = (-28 + 8x) Solving -20 + 12x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 12x + -8x = -28 + 8x + -8x Combine like terms: 12x + -8x = 4x -20 + 4x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 4x = -28 + 0 -20 + 4x = -28 Add '20' to each side of the equation. -20 + 20 + 4x = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -28 + 20 4x = -28 + 20 Combine like terms: -28 + 20 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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