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Simplifying 4x + 5 + -5x + 6 = 5 + -3(x + -4) Reorder the terms: 5 + 6 + 4x + -5x = 5 + -3(x + -4) Combine like terms: 5 + 6 = 11 11 + 4x + -5x = 5 + -3(x + -4) Combine like terms: 4x + -5x = -1x 11 + -1x = 5 + -3(x + -4) Reorder the terms: 11 + -1x = 5 + -3(-4 + x) 11 + -1x = 5 + (-4 * -3 + x * -3) 11 + -1x = 5 + (12 + -3x) Combine like terms: 5 + 12 = 17 11 + -1x = 17 + -3x Solving 11 + -1x = 17 + -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. 11 + -1x + 3x = 17 + -3x + 3x Combine like terms: -1x + 3x = 2x 11 + 2x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 2x = 17 + 0 11 + 2x = 17 Add '-11' to each side of the equation. 11 + -11 + 2x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 17 + -11 2x = 17 + -11 Combine like terms: 17 + -11 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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