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Simplifying 4(2x + -3) + 4x = -2(4x + 1) + -20 Reorder the terms: 4(-3 + 2x) + 4x = -2(4x + 1) + -20 (-3 * 4 + 2x * 4) + 4x = -2(4x + 1) + -20 (-12 + 8x) + 4x = -2(4x + 1) + -20 Combine like terms: 8x + 4x = 12x -12 + 12x = -2(4x + 1) + -20 Reorder the terms: -12 + 12x = -2(1 + 4x) + -20 -12 + 12x = (1 * -2 + 4x * -2) + -20 -12 + 12x = (-2 + -8x) + -20 Reorder the terms: -12 + 12x = -2 + -20 + -8x Combine like terms: -2 + -20 = -22 -12 + 12x = -22 + -8x Solving -12 + 12x = -22 + -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. -12 + 12x + 8x = -22 + -8x + 8x Combine like terms: 12x + 8x = 20x -12 + 20x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 20x = -22 + 0 -12 + 20x = -22 Add '12' to each side of the equation. -12 + 12 + 20x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = -22 + 12 20x = -22 + 12 Combine like terms: -22 + 12 = -10 20x = -10 Divide each side by '20'. x = -0.5 Simplifying x = -0.5
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