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Simplifying 5x + -4(2x + 1) = -1(x + 20) Reorder the terms: 5x + -4(1 + 2x) = -1(x + 20) 5x + (1 * -4 + 2x * -4) = -1(x + 20) 5x + (-4 + -8x) = -1(x + 20) Reorder the terms: -4 + 5x + -8x = -1(x + 20) Combine like terms: 5x + -8x = -3x -4 + -3x = -1(x + 20) Reorder the terms: -4 + -3x = -1(20 + x) -4 + -3x = (20 * -1 + x * -1) -4 + -3x = (-20 + -1x) Solving -4 + -3x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + -3x + x = -20 + -1x + x Combine like terms: -3x + x = -2x -4 + -2x = -20 + -1x + x Combine like terms: -1x + x = 0 -4 + -2x = -20 + 0 -4 + -2x = -20 Add '4' to each side of the equation. -4 + 4 + -2x = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -20 + 4 -2x = -20 + 4 Combine like terms: -20 + 4 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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