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Simplifying 6(x + -2) = 3x + 5x + 6 Reorder the terms: 6(-2 + x) = 3x + 5x + 6 (-2 * 6 + x * 6) = 3x + 5x + 6 (-12 + 6x) = 3x + 5x + 6 Reorder the terms: -12 + 6x = 6 + 3x + 5x Combine like terms: 3x + 5x = 8x -12 + 6x = 6 + 8x Solving -12 + 6x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = 6 + 0 -12 + -2x = 6 Add '12' to each side of the equation. -12 + 12 + -2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 6 + 12 -2x = 6 + 12 Combine like terms: 6 + 12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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