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Simplifying 7x + -3(4x + 2) = 5x + 11 Reorder the terms: 7x + -3(2 + 4x) = 5x + 11 7x + (2 * -3 + 4x * -3) = 5x + 11 7x + (-6 + -12x) = 5x + 11 Reorder the terms: -6 + 7x + -12x = 5x + 11 Combine like terms: 7x + -12x = -5x -6 + -5x = 5x + 11 Reorder the terms: -6 + -5x = 11 + 5x Solving -6 + -5x = 11 + 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. -6 + -5x + -5x = 11 + 5x + -5x Combine like terms: -5x + -5x = -10x -6 + -10x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -10x = 11 + 0 -6 + -10x = 11 Add '6' to each side of the equation. -6 + 6 + -10x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 11 + 6 -10x = 11 + 6 Combine like terms: 11 + 6 = 17 -10x = 17 Divide each side by '-10'. x = -1.7 Simplifying x = -1.7
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