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Simplifying 8[3x + 6] = 9[2x + -4] Reorder the terms: 8[6 + 3x] = 9[2x + -4] [6 * 8 + 3x * 8] = 9[2x + -4] [48 + 24x] = 9[2x + -4] Reorder the terms: 48 + 24x = 9[-4 + 2x] 48 + 24x = [-4 * 9 + 2x * 9] 48 + 24x = [-36 + 18x] Solving 48 + 24x = -36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 48 + 24x + -18x = -36 + 18x + -18x Combine like terms: 24x + -18x = 6x 48 + 6x = -36 + 18x + -18x Combine like terms: 18x + -18x = 0 48 + 6x = -36 + 0 48 + 6x = -36 Add '-48' to each side of the equation. 48 + -48 + 6x = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = -36 + -48 6x = -36 + -48 Combine like terms: -36 + -48 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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