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Simplifying 6 + -2(x + 6) = 5(x + 5) + 2 Reorder the terms: 6 + -2(6 + x) = 5(x + 5) + 2 6 + (6 * -2 + x * -2) = 5(x + 5) + 2 6 + (-12 + -2x) = 5(x + 5) + 2 Combine like terms: 6 + -12 = -6 -6 + -2x = 5(x + 5) + 2 Reorder the terms: -6 + -2x = 5(5 + x) + 2 -6 + -2x = (5 * 5 + x * 5) + 2 -6 + -2x = (25 + 5x) + 2 Reorder the terms: -6 + -2x = 25 + 2 + 5x Combine like terms: 25 + 2 = 27 -6 + -2x = 27 + 5x Solving -6 + -2x = 27 + 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 + -2x + -5x = 27 + 5x + -5x Combine like terms: -2x + -5x = -7x -6 + -7x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -7x = 27 + 0 -6 + -7x = 27 Add '6' to each side of the equation. -6 + 6 + -7x = 27 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 27 + 6 -7x = 27 + 6 Combine like terms: 27 + 6 = 33 -7x = 33 Divide each side by '-7'. x = -4.714285714 Simplifying x = -4.714285714
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