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Simplifying 6(x + -7) + 6 = 6 + -1x Reorder the terms: 6(-7 + x) + 6 = 6 + -1x (-7 * 6 + x * 6) + 6 = 6 + -1x (-42 + 6x) + 6 = 6 + -1x Reorder the terms: -42 + 6 + 6x = 6 + -1x Combine like terms: -42 + 6 = -36 -36 + 6x = 6 + -1x Solving -36 + 6x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -36 + 6x + x = 6 + -1x + x Combine like terms: 6x + x = 7x -36 + 7x = 6 + -1x + x Combine like terms: -1x + x = 0 -36 + 7x = 6 + 0 -36 + 7x = 6 Add '36' to each side of the equation. -36 + 36 + 7x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 6 + 36 7x = 6 + 36 Combine like terms: 6 + 36 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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