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Simplifying 4x + 5(x + -11) = 4(x + -10) Reorder the terms: 4x + 5(-11 + x) = 4(x + -10) 4x + (-11 * 5 + x * 5) = 4(x + -10) 4x + (-55 + 5x) = 4(x + -10) Reorder the terms: -55 + 4x + 5x = 4(x + -10) Combine like terms: 4x + 5x = 9x -55 + 9x = 4(x + -10) Reorder the terms: -55 + 9x = 4(-10 + x) -55 + 9x = (-10 * 4 + x * 4) -55 + 9x = (-40 + 4x) Solving -55 + 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. -55 + 9x + -4x = -40 + 4x + -4x Combine like terms: 9x + -4x = 5x -55 + 5x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -55 + 5x = -40 + 0 -55 + 5x = -40 Add '55' to each side of the equation. -55 + 55 + 5x = -40 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = -40 + 55 5x = -40 + 55 Combine like terms: -40 + 55 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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