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Simplifying 4(7x + -5) = 6(4x + -12) Reorder the terms: 4(-5 + 7x) = 6(4x + -12) (-5 * 4 + 7x * 4) = 6(4x + -12) (-20 + 28x) = 6(4x + -12) Reorder the terms: -20 + 28x = 6(-12 + 4x) -20 + 28x = (-12 * 6 + 4x * 6) -20 + 28x = (-72 + 24x) Solving -20 + 28x = -72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -20 + 28x + -24x = -72 + 24x + -24x Combine like terms: 28x + -24x = 4x -20 + 4x = -72 + 24x + -24x Combine like terms: 24x + -24x = 0 -20 + 4x = -72 + 0 -20 + 4x = -72 Add '20' to each side of the equation. -20 + 20 + 4x = -72 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -72 + 20 4x = -72 + 20 Combine like terms: -72 + 20 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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