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Simplifying 4(x + -5) = 2(2x + -3) + -1x Reorder the terms: 4(-5 + x) = 2(2x + -3) + -1x (-5 * 4 + x * 4) = 2(2x + -3) + -1x (-20 + 4x) = 2(2x + -3) + -1x Reorder the terms: -20 + 4x = 2(-3 + 2x) + -1x -20 + 4x = (-3 * 2 + 2x * 2) + -1x -20 + 4x = (-6 + 4x) + -1x Combine like terms: 4x + -1x = 3x -20 + 4x = -6 + 3x Solving -20 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -20 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 1x = -6 + 0 -20 + 1x = -6 Add '20' to each side of the equation. -20 + 20 + 1x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -6 + 20 1x = -6 + 20 Combine like terms: -6 + 20 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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