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Simplifying 6(2x + -7) + 12x = -5(x + -1) + 11 Reorder the terms: 6(-7 + 2x) + 12x = -5(x + -1) + 11 (-7 * 6 + 2x * 6) + 12x = -5(x + -1) + 11 (-42 + 12x) + 12x = -5(x + -1) + 11 Combine like terms: 12x + 12x = 24x -42 + 24x = -5(x + -1) + 11 Reorder the terms: -42 + 24x = -5(-1 + x) + 11 -42 + 24x = (-1 * -5 + x * -5) + 11 -42 + 24x = (5 + -5x) + 11 Reorder the terms: -42 + 24x = 5 + 11 + -5x Combine like terms: 5 + 11 = 16 -42 + 24x = 16 + -5x Solving -42 + 24x = 16 + -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. -42 + 24x + 5x = 16 + -5x + 5x Combine like terms: 24x + 5x = 29x -42 + 29x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 29x = 16 + 0 -42 + 29x = 16 Add '42' to each side of the equation. -42 + 42 + 29x = 16 + 42 Combine like terms: -42 + 42 = 0 0 + 29x = 16 + 42 29x = 16 + 42 Combine like terms: 16 + 42 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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