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Simplifying 9[x + 10] = 3[x + 6] Reorder the terms: 9[10 + x] = 3[x + 6] [10 * 9 + x * 9] = 3[x + 6] [90 + 9x] = 3[x + 6] Reorder the terms: 90 + 9x = 3[6 + x] 90 + 9x = [6 * 3 + x * 3] 90 + 9x = [18 + 3x] Solving 90 + 9x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 90 + 9x + -3x = 18 + 3x + -3x Combine like terms: 9x + -3x = 6x 90 + 6x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + 6x = 18 + 0 90 + 6x = 18 Add '-90' to each side of the equation. 90 + -90 + 6x = 18 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 18 + -90 6x = 18 + -90 Combine like terms: 18 + -90 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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