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Simplifying 2[7x + 3] = 3[5x + 3] Reorder the terms: 2[3 + 7x] = 3[5x + 3] [3 * 2 + 7x * 2] = 3[5x + 3] [6 + 14x] = 3[5x + 3] Reorder the terms: 6 + 14x = 3[3 + 5x] 6 + 14x = [3 * 3 + 5x * 3] 6 + 14x = [9 + 15x] Solving 6 + 14x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 14x + -15x = 9 + 15x + -15x Combine like terms: 14x + -15x = -1x 6 + -1x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -1x = 9 + 0 6 + -1x = 9 Add '-6' to each side of the equation. 6 + -6 + -1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 9 + -6 -1x = 9 + -6 Combine like terms: 9 + -6 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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