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Simplifying -3x + 5 + 6(x + 1) = 2x + 3 Reorder the terms: -3x + 5 + 6(1 + x) = 2x + 3 -3x + 5 + (1 * 6 + x * 6) = 2x + 3 -3x + 5 + (6 + 6x) = 2x + 3 Reorder the terms: 5 + 6 + -3x + 6x = 2x + 3 Combine like terms: 5 + 6 = 11 11 + -3x + 6x = 2x + 3 Combine like terms: -3x + 6x = 3x 11 + 3x = 2x + 3 Reorder the terms: 11 + 3x = 3 + 2x Solving 11 + 3x = 3 + 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. 11 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 11 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 1x = 3 + 0 11 + 1x = 3 Add '-11' to each side of the equation. 11 + -11 + 1x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 3 + -11 1x = 3 + -11 Combine like terms: 3 + -11 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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