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Simplifying 2(5x + -4) = 3x + 2 + -4(x + -3) Reorder the terms: 2(-4 + 5x) = 3x + 2 + -4(x + -3) (-4 * 2 + 5x * 2) = 3x + 2 + -4(x + -3) (-8 + 10x) = 3x + 2 + -4(x + -3) Reorder the terms: -8 + 10x = 3x + 2 + -4(-3 + x) -8 + 10x = 3x + 2 + (-3 * -4 + x * -4) -8 + 10x = 3x + 2 + (12 + -4x) Reorder the terms: -8 + 10x = 2 + 12 + 3x + -4x Combine like terms: 2 + 12 = 14 -8 + 10x = 14 + 3x + -4x Combine like terms: 3x + -4x = -1x -8 + 10x = 14 + -1x Solving -8 + 10x = 14 + -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. -8 + 10x + x = 14 + -1x + x Combine like terms: 10x + x = 11x -8 + 11x = 14 + -1x + x Combine like terms: -1x + x = 0 -8 + 11x = 14 + 0 -8 + 11x = 14 Add '8' to each side of the equation. -8 + 8 + 11x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 14 + 8 11x = 14 + 8 Combine like terms: 14 + 8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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