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Simplifying 3 + 2(5x + -4) = 3(2x + -3) + 2x Reorder the terms: 3 + 2(-4 + 5x) = 3(2x + -3) + 2x 3 + (-4 * 2 + 5x * 2) = 3(2x + -3) + 2x 3 + (-8 + 10x) = 3(2x + -3) + 2x Combine like terms: 3 + -8 = -5 -5 + 10x = 3(2x + -3) + 2x Reorder the terms: -5 + 10x = 3(-3 + 2x) + 2x -5 + 10x = (-3 * 3 + 2x * 3) + 2x -5 + 10x = (-9 + 6x) + 2x Combine like terms: 6x + 2x = 8x -5 + 10x = -9 + 8x Solving -5 + 10x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = -9 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = -9 + 0 -5 + 2x = -9 Add '5' to each side of the equation. -5 + 5 + 2x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -9 + 5 2x = -9 + 5 Combine like terms: -9 + 5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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