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Simplifying 4x + 2(3x + -1) = 17x + -3(4x + -11) Reorder the terms: 4x + 2(-1 + 3x) = 17x + -3(4x + -11) 4x + (-1 * 2 + 3x * 2) = 17x + -3(4x + -11) 4x + (-2 + 6x) = 17x + -3(4x + -11) Reorder the terms: -2 + 4x + 6x = 17x + -3(4x + -11) Combine like terms: 4x + 6x = 10x -2 + 10x = 17x + -3(4x + -11) Reorder the terms: -2 + 10x = 17x + -3(-11 + 4x) -2 + 10x = 17x + (-11 * -3 + 4x * -3) -2 + 10x = 17x + (33 + -12x) Reorder the terms: -2 + 10x = 33 + 17x + -12x Combine like terms: 17x + -12x = 5x -2 + 10x = 33 + 5x Solving -2 + 10x = 33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 10x + -5x = 33 + 5x + -5x Combine like terms: 10x + -5x = 5x -2 + 5x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 5x = 33 + 0 -2 + 5x = 33 Add '2' to each side of the equation. -2 + 2 + 5x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 33 + 2 5x = 33 + 2 Combine like terms: 33 + 2 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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