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Simplifying 1x + 3x + -5(x + -4) = 2(10 + -3x) Reorder the terms: 1x + 3x + -5(-4 + x) = 2(10 + -3x) 1x + 3x + (-4 * -5 + x * -5) = 2(10 + -3x) 1x + 3x + (20 + -5x) = 2(10 + -3x) Reorder the terms: 20 + 1x + 3x + -5x = 2(10 + -3x) Combine like terms: 1x + 3x = 4x 20 + 4x + -5x = 2(10 + -3x) Combine like terms: 4x + -5x = -1x 20 + -1x = 2(10 + -3x) 20 + -1x = (10 * 2 + -3x * 2) 20 + -1x = (20 + -6x) Add '-20' to each side of the equation. 20 + -20 + -1x = 20 + -20 + -6x Combine like terms: 20 + -20 = 0 0 + -1x = 20 + -20 + -6x -1x = 20 + -20 + -6x Combine like terms: 20 + -20 = 0 -1x = 0 + -6x -1x = -6x Solving -1x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1x + 6x = -6x + 6x Combine like terms: -1x + 6x = 5x 5x = -6x + 6x Combine like terms: -6x + 6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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