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Simplifying 8 + -3(3x + 3) = x + -1(2x + 1) Reorder the terms: 8 + -3(3 + 3x) = x + -1(2x + 1) 8 + (3 * -3 + 3x * -3) = x + -1(2x + 1) 8 + (-9 + -9x) = x + -1(2x + 1) Combine like terms: 8 + -9 = -1 -1 + -9x = x + -1(2x + 1) Reorder the terms: -1 + -9x = x + -1(1 + 2x) -1 + -9x = x + (1 * -1 + 2x * -1) -1 + -9x = x + (-1 + -2x) Reorder the terms: -1 + -9x = -1 + x + -2x Combine like terms: x + -2x = -1x -1 + -9x = -1 + -1x Add '1' to each side of the equation. -1 + 1 + -9x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 0 + -9x = -1 + 1 + -1x -9x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 -9x = 0 + -1x -9x = -1x Solving -9x = -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. -9x + x = -1x + x Combine like terms: -9x + x = -8x -8x = -1x + x Combine like terms: -1x + x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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