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Simplifying 4(-2x + 7) = 2(x + 20) + -5(3 + -2x) + 3 Reorder the terms: 4(7 + -2x) = 2(x + 20) + -5(3 + -2x) + 3 (7 * 4 + -2x * 4) = 2(x + 20) + -5(3 + -2x) + 3 (28 + -8x) = 2(x + 20) + -5(3 + -2x) + 3 Reorder the terms: 28 + -8x = 2(20 + x) + -5(3 + -2x) + 3 28 + -8x = (20 * 2 + x * 2) + -5(3 + -2x) + 3 28 + -8x = (40 + 2x) + -5(3 + -2x) + 3 28 + -8x = 40 + 2x + (3 * -5 + -2x * -5) + 3 28 + -8x = 40 + 2x + (-15 + 10x) + 3 Reorder the terms: 28 + -8x = 40 + -15 + 3 + 2x + 10x Combine like terms: 40 + -15 = 25 28 + -8x = 25 + 3 + 2x + 10x Combine like terms: 25 + 3 = 28 28 + -8x = 28 + 2x + 10x Combine like terms: 2x + 10x = 12x 28 + -8x = 28 + 12x Add '-28' to each side of the equation. 28 + -28 + -8x = 28 + -28 + 12x Combine like terms: 28 + -28 = 0 0 + -8x = 28 + -28 + 12x -8x = 28 + -28 + 12x Combine like terms: 28 + -28 = 0 -8x = 0 + 12x -8x = 12x Solving -8x = 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. -8x + -12x = 12x + -12x Combine like terms: -8x + -12x = -20x -20x = 12x + -12x Combine like terms: 12x + -12x = 0 -20x = 0 Divide each side by '-20'. x = 0.0 Simplifying x = 0.0
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