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Simplifying -2(x + 6) + 3 = 6(x + 5) + 2 Reorder the terms: -2(6 + x) + 3 = 6(x + 5) + 2 (6 * -2 + x * -2) + 3 = 6(x + 5) + 2 (-12 + -2x) + 3 = 6(x + 5) + 2 Reorder the terms: -12 + 3 + -2x = 6(x + 5) + 2 Combine like terms: -12 + 3 = -9 -9 + -2x = 6(x + 5) + 2 Reorder the terms: -9 + -2x = 6(5 + x) + 2 -9 + -2x = (5 * 6 + x * 6) + 2 -9 + -2x = (30 + 6x) + 2 Reorder the terms: -9 + -2x = 30 + 2 + 6x Combine like terms: 30 + 2 = 32 -9 + -2x = 32 + 6x Solving -9 + -2x = 32 + 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. -9 + -2x + -6x = 32 + 6x + -6x Combine like terms: -2x + -6x = -8x -9 + -8x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -8x = 32 + 0 -9 + -8x = 32 Add '9' to each side of the equation. -9 + 9 + -8x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 32 + 9 -8x = 32 + 9 Combine like terms: 32 + 9 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125
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