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Simplifying 2(5x + -4) + -3x = x + -1(4x + -2) Reorder the terms: 2(-4 + 5x) + -3x = x + -1(4x + -2) (-4 * 2 + 5x * 2) + -3x = x + -1(4x + -2) (-8 + 10x) + -3x = x + -1(4x + -2) Combine like terms: 10x + -3x = 7x -8 + 7x = x + -1(4x + -2) Reorder the terms: -8 + 7x = x + -1(-2 + 4x) -8 + 7x = x + (-2 * -1 + 4x * -1) -8 + 7x = x + (2 + -4x) Reorder the terms: -8 + 7x = 2 + x + -4x Combine like terms: x + -4x = -3x -8 + 7x = 2 + -3x Solving -8 + 7x = 2 + -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. -8 + 7x + 3x = 2 + -3x + 3x Combine like terms: 7x + 3x = 10x -8 + 10x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 10x = 2 + 0 -8 + 10x = 2 Add '8' to each side of the equation. -8 + 8 + 10x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 2 + 8 10x = 2 + 8 Combine like terms: 2 + 8 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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