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Simplifying 3(x + -1) = 8x + 9 + -6x + 7 Reorder the terms: 3(-1 + x) = 8x + 9 + -6x + 7 (-1 * 3 + x * 3) = 8x + 9 + -6x + 7 (-3 + 3x) = 8x + 9 + -6x + 7 Reorder the terms: -3 + 3x = 9 + 7 + 8x + -6x Combine like terms: 9 + 7 = 16 -3 + 3x = 16 + 8x + -6x Combine like terms: 8x + -6x = 2x -3 + 3x = 16 + 2x Solving -3 + 3x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x -3 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1x = 16 + 0 -3 + 1x = 16 Add '3' to each side of the equation. -3 + 3 + 1x = 16 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 16 + 3 1x = 16 + 3 Combine like terms: 16 + 3 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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