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Simplifying 2(x + -2) + -1(3x + -5) = 4(5x + -1) + -16 Reorder the terms: 2(-2 + x) + -1(3x + -5) = 4(5x + -1) + -16 (-2 * 2 + x * 2) + -1(3x + -5) = 4(5x + -1) + -16 (-4 + 2x) + -1(3x + -5) = 4(5x + -1) + -16 Reorder the terms: -4 + 2x + -1(-5 + 3x) = 4(5x + -1) + -16 -4 + 2x + (-5 * -1 + 3x * -1) = 4(5x + -1) + -16 -4 + 2x + (5 + -3x) = 4(5x + -1) + -16 Reorder the terms: -4 + 5 + 2x + -3x = 4(5x + -1) + -16 Combine like terms: -4 + 5 = 1 1 + 2x + -3x = 4(5x + -1) + -16 Combine like terms: 2x + -3x = -1x 1 + -1x = 4(5x + -1) + -16 Reorder the terms: 1 + -1x = 4(-1 + 5x) + -16 1 + -1x = (-1 * 4 + 5x * 4) + -16 1 + -1x = (-4 + 20x) + -16 Reorder the terms: 1 + -1x = -4 + -16 + 20x Combine like terms: -4 + -16 = -20 1 + -1x = -20 + 20x Solving 1 + -1x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1 + -1x + -20x = -20 + 20x + -20x Combine like terms: -1x + -20x = -21x 1 + -21x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -21x = -20 + 0 1 + -21x = -20 Add '-1' to each side of the equation. 1 + -1 + -21x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -21x = -20 + -1 -21x = -20 + -1 Combine like terms: -20 + -1 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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