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Simplifying -2(x + 6) + 6 = 6(x + 3) + 5 Reorder the terms: -2(6 + x) + 6 = 6(x + 3) + 5 (6 * -2 + x * -2) + 6 = 6(x + 3) + 5 (-12 + -2x) + 6 = 6(x + 3) + 5 Reorder the terms: -12 + 6 + -2x = 6(x + 3) + 5 Combine like terms: -12 + 6 = -6 -6 + -2x = 6(x + 3) + 5 Reorder the terms: -6 + -2x = 6(3 + x) + 5 -6 + -2x = (3 * 6 + x * 6) + 5 -6 + -2x = (18 + 6x) + 5 Reorder the terms: -6 + -2x = 18 + 5 + 6x Combine like terms: 18 + 5 = 23 -6 + -2x = 23 + 6x Solving -6 + -2x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -2x + -6x = 23 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 23 + 0 -6 + -8x = 23 Add '6' to each side of the equation. -6 + 6 + -8x = 23 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 23 + 6 -8x = 23 + 6 Combine like terms: 23 + 6 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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