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Simplifying [(2x + 3) + (5x + 3)] = 6x + 2 Reorder the terms: [(3 + 2x) + (5x + 3)] = 6x + 2 Remove parenthesis around (3 + 2x) [3 + 2x + (5x + 3)] = 6x + 2 Reorder the terms: [3 + 2x + (3 + 5x)] = 6x + 2 Remove parenthesis around (3 + 5x) [3 + 2x + 3 + 5x] = 6x + 2 Reorder the terms: [3 + 3 + 2x + 5x] = 6x + 2 Combine like terms: 3 + 3 = 6 [6 + 2x + 5x] = 6x + 2 Combine like terms: 2x + 5x = 7x [6 + 7x] = 6x + 2 Remove brackets around [6 + 7x] 6 + 7x = 6x + 2 Reorder the terms: 6 + 7x = 2 + 6x Solving 6 + 7x = 2 + 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. 6 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x 6 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 1x = 2 + 0 6 + 1x = 2 Add '-6' to each side of the equation. 6 + -6 + 1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 2 + -6 1x = 2 + -6 Combine like terms: 2 + -6 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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