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