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Simplifying 4(2x + -1) = -10(x + -5) Reorder the terms: 4(-1 + 2x) = -10(x + -5) (-1 * 4 + 2x * 4) = -10(x + -5) (-4 + 8x) = -10(x + -5) Reorder the terms: -4 + 8x = -10(-5 + x) -4 + 8x = (-5 * -10 + x * -10) -4 + 8x = (50 + -10x) Solving -4 + 8x = 50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + 8x + 10x = 50 + -10x + 10x Combine like terms: 8x + 10x = 18x -4 + 18x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 18x = 50 + 0 -4 + 18x = 50 Add '4' to each side of the equation. -4 + 4 + 18x = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 50 + 4 18x = 50 + 4 Combine like terms: 50 + 4 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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