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Simplifying 8(x + -3) + 6 = 9x + 84 Reorder the terms: 8(-3 + x) + 6 = 9x + 84 (-3 * 8 + x * 8) + 6 = 9x + 84 (-24 + 8x) + 6 = 9x + 84 Reorder the terms: -24 + 6 + 8x = 9x + 84 Combine like terms: -24 + 6 = -18 -18 + 8x = 9x + 84 Reorder the terms: -18 + 8x = 84 + 9x Solving -18 + 8x = 84 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 8x + -9x = 84 + 9x + -9x Combine like terms: 8x + -9x = -1x -18 + -1x = 84 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -1x = 84 + 0 -18 + -1x = 84 Add '18' to each side of the equation. -18 + 18 + -1x = 84 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 84 + 18 -1x = 84 + 18 Combine like terms: 84 + 18 = 102 -1x = 102 Divide each side by '-1'. x = -102 Simplifying x = -102
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