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Simplifying 4(x + 2) + 5(x + -3) = 11 Reorder the terms: 4(2 + x) + 5(x + -3) = 11 (2 * 4 + x * 4) + 5(x + -3) = 11 (8 + 4x) + 5(x + -3) = 11 Reorder the terms: 8 + 4x + 5(-3 + x) = 11 8 + 4x + (-3 * 5 + x * 5) = 11 8 + 4x + (-15 + 5x) = 11 Reorder the terms: 8 + -15 + 4x + 5x = 11 Combine like terms: 8 + -15 = -7 -7 + 4x + 5x = 11 Combine like terms: 4x + 5x = 9x -7 + 9x = 11 Solving -7 + 9x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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