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Simplifying 11 + 4(x + -4) = 3(5 + -1x) + 5x Reorder the terms: 11 + 4(-4 + x) = 3(5 + -1x) + 5x 11 + (-4 * 4 + x * 4) = 3(5 + -1x) + 5x 11 + (-16 + 4x) = 3(5 + -1x) + 5x Combine like terms: 11 + -16 = -5 -5 + 4x = 3(5 + -1x) + 5x -5 + 4x = (5 * 3 + -1x * 3) + 5x -5 + 4x = (15 + -3x) + 5x Combine like terms: -3x + 5x = 2x -5 + 4x = 15 + 2x Solving -5 + 4x = 15 + 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. -5 + 4x + -2x = 15 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 15 + 0 -5 + 2x = 15 Add '5' to each side of the equation. -5 + 5 + 2x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 15 + 5 2x = 15 + 5 Combine like terms: 15 + 5 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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