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Simplifying 2x + 3(x + -1) = 5 + -1(x + -4) Reorder the terms: 2x + 3(-1 + x) = 5 + -1(x + -4) 2x + (-1 * 3 + x * 3) = 5 + -1(x + -4) 2x + (-3 + 3x) = 5 + -1(x + -4) Reorder the terms: -3 + 2x + 3x = 5 + -1(x + -4) Combine like terms: 2x + 3x = 5x -3 + 5x = 5 + -1(x + -4) Reorder the terms: -3 + 5x = 5 + -1(-4 + x) -3 + 5x = 5 + (-4 * -1 + x * -1) -3 + 5x = 5 + (4 + -1x) Combine like terms: 5 + 4 = 9 -3 + 5x = 9 + -1x Solving -3 + 5x = 9 + -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. -3 + 5x + x = 9 + -1x + x Combine like terms: 5x + x = 6x -3 + 6x = 9 + -1x + x Combine like terms: -1x + x = 0 -3 + 6x = 9 + 0 -3 + 6x = 9 Add '3' to each side of the equation. -3 + 3 + 6x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 9 + 3 6x = 9 + 3 Combine like terms: 9 + 3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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