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Simplifying 3 + 3(x + -7) = 6 + -8(x + -1) Reorder the terms: 3 + 3(-7 + x) = 6 + -8(x + -1) 3 + (-7 * 3 + x * 3) = 6 + -8(x + -1) 3 + (-21 + 3x) = 6 + -8(x + -1) Combine like terms: 3 + -21 = -18 -18 + 3x = 6 + -8(x + -1) Reorder the terms: -18 + 3x = 6 + -8(-1 + x) -18 + 3x = 6 + (-1 * -8 + x * -8) -18 + 3x = 6 + (8 + -8x) Combine like terms: 6 + 8 = 14 -18 + 3x = 14 + -8x Solving -18 + 3x = 14 + -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. -18 + 3x + 8x = 14 + -8x + 8x Combine like terms: 3x + 8x = 11x -18 + 11x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 11x = 14 + 0 -18 + 11x = 14 Add '18' to each side of the equation. -18 + 18 + 11x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 14 + 18 11x = 14 + 18 Combine like terms: 14 + 18 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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