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Simplifying 4(2x + -10) = -10(x + -5) Reorder the terms: 4(-10 + 2x) = -10(x + -5) (-10 * 4 + 2x * 4) = -10(x + -5) (-40 + 8x) = -10(x + -5) Reorder the terms: -40 + 8x = -10(-5 + x) -40 + 8x = (-5 * -10 + x * -10) -40 + 8x = (50 + -10x) Solving -40 + 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. -40 + 8x + 10x = 50 + -10x + 10x Combine like terms: 8x + 10x = 18x -40 + 18x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 -40 + 18x = 50 + 0 -40 + 18x = 50 Add '40' to each side of the equation. -40 + 40 + 18x = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 18x = 50 + 40 18x = 50 + 40 Combine like terms: 50 + 40 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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