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Simplifying 2(x + -30) + (-1x + 40) = 4(x + -50) Reorder the terms: 2(-30 + x) + (-1x + 40) = 4(x + -50) (-30 * 2 + x * 2) + (-1x + 40) = 4(x + -50) (-60 + 2x) + (-1x + 40) = 4(x + -50) Reorder the terms: -60 + 2x + (40 + -1x) = 4(x + -50) Remove parenthesis around (40 + -1x) -60 + 2x + 40 + -1x = 4(x + -50) Reorder the terms: -60 + 40 + 2x + -1x = 4(x + -50) Combine like terms: -60 + 40 = -20 -20 + 2x + -1x = 4(x + -50) Combine like terms: 2x + -1x = 1x -20 + 1x = 4(x + -50) Reorder the terms: -20 + 1x = 4(-50 + x) -20 + 1x = (-50 * 4 + x * 4) -20 + 1x = (-200 + 4x) Solving -20 + 1x = -200 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 1x + -4x = -200 + 4x + -4x Combine like terms: 1x + -4x = -3x -20 + -3x = -200 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -3x = -200 + 0 -20 + -3x = -200 Add '20' to each side of the equation. -20 + 20 + -3x = -200 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -200 + 20 -3x = -200 + 20 Combine like terms: -200 + 20 = -180 -3x = -180 Divide each side by '-3'. x = 60 Simplifying x = 60
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