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Simplifying 4(x + -5) + 11 = 3(x + 5) Reorder the terms: 4(-5 + x) + 11 = 3(x + 5) (-5 * 4 + x * 4) + 11 = 3(x + 5) (-20 + 4x) + 11 = 3(x + 5) Reorder the terms: -20 + 11 + 4x = 3(x + 5) Combine like terms: -20 + 11 = -9 -9 + 4x = 3(x + 5) Reorder the terms: -9 + 4x = 3(5 + x) -9 + 4x = (5 * 3 + x * 3) -9 + 4x = (15 + 3x) Solving -9 + 4x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x -9 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 1x = 15 + 0 -9 + 1x = 15 Add '9' to each side of the equation. -9 + 9 + 1x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 15 + 9 1x = 15 + 9 Combine like terms: 15 + 9 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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