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Simplifying 4x + 5(x + -10) = 4(x + -10) Reorder the terms: 4x + 5(-10 + x) = 4(x + -10) 4x + (-10 * 5 + x * 5) = 4(x + -10) 4x + (-50 + 5x) = 4(x + -10) Reorder the terms: -50 + 4x + 5x = 4(x + -10) Combine like terms: 4x + 5x = 9x -50 + 9x = 4(x + -10) Reorder the terms: -50 + 9x = 4(-10 + x) -50 + 9x = (-10 * 4 + x * 4) -50 + 9x = (-40 + 4x) Solving -50 + 9x = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -50 + 9x + -4x = -40 + 4x + -4x Combine like terms: 9x + -4x = 5x -50 + 5x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + 5x = -40 + 0 -50 + 5x = -40 Add '50' to each side of the equation. -50 + 50 + 5x = -40 + 50 Combine like terms: -50 + 50 = 0 0 + 5x = -40 + 50 5x = -40 + 50 Combine like terms: -40 + 50 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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