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Simplifying 2(x + 9) + -4 = 8(x + -3) Reorder the terms: 2(9 + x) + -4 = 8(x + -3) (9 * 2 + x * 2) + -4 = 8(x + -3) (18 + 2x) + -4 = 8(x + -3) Reorder the terms: 18 + -4 + 2x = 8(x + -3) Combine like terms: 18 + -4 = 14 14 + 2x = 8(x + -3) Reorder the terms: 14 + 2x = 8(-3 + x) 14 + 2x = (-3 * 8 + x * 8) 14 + 2x = (-24 + 8x) Solving 14 + 2x = -24 + 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. 14 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x 14 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -6x = -24 + 0 14 + -6x = -24 Add '-14' to each side of the equation. 14 + -14 + -6x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -24 + -14 -6x = -24 + -14 Combine like terms: -24 + -14 = -38 -6x = -38 Divide each side by '-6'. x = 6.333333333 Simplifying x = 6.333333333
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