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Simplifying 6x + 3 + -2x = 2(x + 3) + 11 Reorder the terms: 3 + 6x + -2x = 2(x + 3) + 11 Combine like terms: 6x + -2x = 4x 3 + 4x = 2(x + 3) + 11 Reorder the terms: 3 + 4x = 2(3 + x) + 11 3 + 4x = (3 * 2 + x * 2) + 11 3 + 4x = (6 + 2x) + 11 Reorder the terms: 3 + 4x = 6 + 11 + 2x Combine like terms: 6 + 11 = 17 3 + 4x = 17 + 2x Solving 3 + 4x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x = 17 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x = 17 + 0 3 + 2x = 17 Add '-3' to each side of the equation. 3 + -3 + 2x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 17 + -3 2x = 17 + -3 Combine like terms: 17 + -3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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