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Simplifying 3x + -4(2x + 5) = -3(2x + 4) Reorder the terms: 3x + -4(5 + 2x) = -3(2x + 4) 3x + (5 * -4 + 2x * -4) = -3(2x + 4) 3x + (-20 + -8x) = -3(2x + 4) Reorder the terms: -20 + 3x + -8x = -3(2x + 4) Combine like terms: 3x + -8x = -5x -20 + -5x = -3(2x + 4) Reorder the terms: -20 + -5x = -3(4 + 2x) -20 + -5x = (4 * -3 + 2x * -3) -20 + -5x = (-12 + -6x) Solving -20 + -5x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + -5x + 6x = -12 + -6x + 6x Combine like terms: -5x + 6x = 1x -20 + 1x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 1x = -12 + 0 -20 + 1x = -12 Add '20' to each side of the equation. -20 + 20 + 1x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -12 + 20 1x = -12 + 20 Combine like terms: -12 + 20 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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