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Simplifying 3(x + -5) = 11 + -2(x + 3) Reorder the terms: 3(-5 + x) = 11 + -2(x + 3) (-5 * 3 + x * 3) = 11 + -2(x + 3) (-15 + 3x) = 11 + -2(x + 3) Reorder the terms: -15 + 3x = 11 + -2(3 + x) -15 + 3x = 11 + (3 * -2 + x * -2) -15 + 3x = 11 + (-6 + -2x) Combine like terms: 11 + -6 = 5 -15 + 3x = 5 + -2x Solving -15 + 3x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 5 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 5 + 0 -15 + 5x = 5 Add '15' to each side of the equation. -15 + 15 + 5x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 5 + 15 5x = 5 + 15 Combine like terms: 5 + 15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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