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Simplifying 3[x + 5] = 2[3x + 18] Reorder the terms: 3[5 + x] = 2[3x + 18] [5 * 3 + x * 3] = 2[3x + 18] [15 + 3x] = 2[3x + 18] Reorder the terms: 15 + 3x = 2[18 + 3x] 15 + 3x = [18 * 2 + 3x * 2] 15 + 3x = [36 + 6x] Solving 15 + 3x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = 36 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = 36 + 0 15 + -3x = 36 Add '-15' to each side of the equation. 15 + -15 + -3x = 36 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 36 + -15 -3x = 36 + -15 Combine like terms: 36 + -15 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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