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Simplifying 2(3x + -5) = -4(2x + -1) Reorder the terms: 2(-5 + 3x) = -4(2x + -1) (-5 * 2 + 3x * 2) = -4(2x + -1) (-10 + 6x) = -4(2x + -1) Reorder the terms: -10 + 6x = -4(-1 + 2x) -10 + 6x = (-1 * -4 + 2x * -4) -10 + 6x = (4 + -8x) Solving -10 + 6x = 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. -10 + 6x + 8x = 4 + -8x + 8x Combine like terms: 6x + 8x = 14x -10 + 14x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 14x = 4 + 0 -10 + 14x = 4 Add '10' to each side of the equation. -10 + 10 + 14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 4 + 10 14x = 4 + 10 Combine like terms: 4 + 10 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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