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Simplifying 2(x + 3) + 5 = 6x + -2 Reorder the terms: 2(3 + x) + 5 = 6x + -2 (3 * 2 + x * 2) + 5 = 6x + -2 (6 + 2x) + 5 = 6x + -2 Reorder the terms: 6 + 5 + 2x = 6x + -2 Combine like terms: 6 + 5 = 11 11 + 2x = 6x + -2 Reorder the terms: 11 + 2x = -2 + 6x Solving 11 + 2x = -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. 11 + 2x + -6x = -2 + 6x + -6x Combine like terms: 2x + -6x = -4x 11 + -4x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -4x = -2 + 0 11 + -4x = -2 Add '-11' to each side of the equation. 11 + -11 + -4x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = -2 + -11 -4x = -2 + -11 Combine like terms: -2 + -11 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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