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Simplifying 2(x + 9) + -4 = 8(x + -3) + 2 Reorder the terms: 2(9 + x) + -4 = 8(x + -3) + 2 (9 * 2 + x * 2) + -4 = 8(x + -3) + 2 (18 + 2x) + -4 = 8(x + -3) + 2 Reorder the terms: 18 + -4 + 2x = 8(x + -3) + 2 Combine like terms: 18 + -4 = 14 14 + 2x = 8(x + -3) + 2 Reorder the terms: 14 + 2x = 8(-3 + x) + 2 14 + 2x = (-3 * 8 + x * 8) + 2 14 + 2x = (-24 + 8x) + 2 Reorder the terms: 14 + 2x = -24 + 2 + 8x Combine like terms: -24 + 2 = -22 14 + 2x = -22 + 8x Solving 14 + 2x = -22 + 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 = -22 + 8x + -8x Combine like terms: 2x + -8x = -6x 14 + -6x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -6x = -22 + 0 14 + -6x = -22 Add '-14' to each side of the equation. 14 + -14 + -6x = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -22 + -14 -6x = -22 + -14 Combine like terms: -22 + -14 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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