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Simplifying 3 + 3(x + -3) = 8 + -8(x + -3) Reorder the terms: 3 + 3(-3 + x) = 8 + -8(x + -3) 3 + (-3 * 3 + x * 3) = 8 + -8(x + -3) 3 + (-9 + 3x) = 8 + -8(x + -3) Combine like terms: 3 + -9 = -6 -6 + 3x = 8 + -8(x + -3) Reorder the terms: -6 + 3x = 8 + -8(-3 + x) -6 + 3x = 8 + (-3 * -8 + x * -8) -6 + 3x = 8 + (24 + -8x) Combine like terms: 8 + 24 = 32 -6 + 3x = 32 + -8x Solving -6 + 3x = 32 + -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 + 3x + 8x = 32 + -8x + 8x Combine like terms: 3x + 8x = 11x -6 + 11x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 11x = 32 + 0 -6 + 11x = 32 Add '6' to each side of the equation. -6 + 6 + 11x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 32 + 6 11x = 32 + 6 Combine like terms: 32 + 6 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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