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Simplifying 4(2x + -12) = 21 + -5(x + 4) Reorder the terms: 4(-12 + 2x) = 21 + -5(x + 4) (-12 * 4 + 2x * 4) = 21 + -5(x + 4) (-48 + 8x) = 21 + -5(x + 4) Reorder the terms: -48 + 8x = 21 + -5(4 + x) -48 + 8x = 21 + (4 * -5 + x * -5) -48 + 8x = 21 + (-20 + -5x) Combine like terms: 21 + -20 = 1 -48 + 8x = 1 + -5x Solving -48 + 8x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -48 + 8x + 5x = 1 + -5x + 5x Combine like terms: 8x + 5x = 13x -48 + 13x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + 13x = 1 + 0 -48 + 13x = 1 Add '48' to each side of the equation. -48 + 48 + 13x = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 1 + 48 13x = 1 + 48 Combine like terms: 1 + 48 = 49 13x = 49 Divide each side by '13'. x = 3.769230769 Simplifying x = 3.769230769
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