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Simplifying 4(7x + -3) = 12(x + -5) Reorder the terms: 4(-3 + 7x) = 12(x + -5) (-3 * 4 + 7x * 4) = 12(x + -5) (-12 + 28x) = 12(x + -5) Reorder the terms: -12 + 28x = 12(-5 + x) -12 + 28x = (-5 * 12 + x * 12) -12 + 28x = (-60 + 12x) Solving -12 + 28x = -60 + 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. -12 + 28x + -12x = -60 + 12x + -12x Combine like terms: 28x + -12x = 16x -12 + 16x = -60 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 16x = -60 + 0 -12 + 16x = -60 Add '12' to each side of the equation. -12 + 12 + 16x = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = -60 + 12 16x = -60 + 12 Combine like terms: -60 + 12 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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