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Simplifying 2(5x + -3) = 4(2x + -1) Reorder the terms: 2(-3 + 5x) = 4(2x + -1) (-3 * 2 + 5x * 2) = 4(2x + -1) (-6 + 10x) = 4(2x + -1) Reorder the terms: -6 + 10x = 4(-1 + 2x) -6 + 10x = (-1 * 4 + 2x * 4) -6 + 10x = (-4 + 8x) Solving -6 + 10x = -4 + 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. -6 + 10x + -8x = -4 + 8x + -8x Combine like terms: 10x + -8x = 2x -6 + 2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 2x = -4 + 0 -6 + 2x = -4 Add '6' to each side of the equation. -6 + 6 + 2x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -4 + 6 2x = -4 + 6 Combine like terms: -4 + 6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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