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Simplifying 5x + 4(3x + -2) = 11 + -2x Reorder the terms: 5x + 4(-2 + 3x) = 11 + -2x 5x + (-2 * 4 + 3x * 4) = 11 + -2x 5x + (-8 + 12x) = 11 + -2x Reorder the terms: -8 + 5x + 12x = 11 + -2x Combine like terms: 5x + 12x = 17x -8 + 17x = 11 + -2x Solving -8 + 17x = 11 + -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. -8 + 17x + 2x = 11 + -2x + 2x Combine like terms: 17x + 2x = 19x -8 + 19x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 19x = 11 + 0 -8 + 19x = 11 Add '8' to each side of the equation. -8 + 8 + 19x = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 19x = 11 + 8 19x = 11 + 8 Combine like terms: 11 + 8 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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