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Simplifying 2(x + -6) + 6 = 2x + -6(6 + -1x) Reorder the terms: 2(-6 + x) + 6 = 2x + -6(6 + -1x) (-6 * 2 + x * 2) + 6 = 2x + -6(6 + -1x) (-12 + 2x) + 6 = 2x + -6(6 + -1x) Reorder the terms: -12 + 6 + 2x = 2x + -6(6 + -1x) Combine like terms: -12 + 6 = -6 -6 + 2x = 2x + -6(6 + -1x) -6 + 2x = 2x + (6 * -6 + -1x * -6) -6 + 2x = 2x + (-36 + 6x) Reorder the terms: -6 + 2x = -36 + 2x + 6x Combine like terms: 2x + 6x = 8x -6 + 2x = -36 + 8x Solving -6 + 2x = -36 + 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. -6 + 2x + -8x = -36 + 8x + -8x Combine like terms: 2x + -8x = -6x -6 + -6x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -6x = -36 + 0 -6 + -6x = -36 Add '6' to each side of the equation. -6 + 6 + -6x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -36 + 6 -6x = -36 + 6 Combine like terms: -36 + 6 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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