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Simplifying 5[x + 6] = 8x + 75 Reorder the terms: 5[6 + x] = 8x + 75 [6 * 5 + x * 5] = 8x + 75 [30 + 5x] = 8x + 75 Reorder the terms: 30 + 5x = 75 + 8x Solving 30 + 5x = 75 + 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. 30 + 5x + -8x = 75 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = 75 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = 75 + 0 30 + -3x = 75 Add '-30' to each side of the equation. 30 + -30 + -3x = 75 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 75 + -30 -3x = 75 + -30 Combine like terms: 75 + -30 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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