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Simplifying 5 + 3(2x + 2) = 6 + 4(x + 1) Reorder the terms: 5 + 3(2 + 2x) = 6 + 4(x + 1) 5 + (2 * 3 + 2x * 3) = 6 + 4(x + 1) 5 + (6 + 6x) = 6 + 4(x + 1) Combine like terms: 5 + 6 = 11 11 + 6x = 6 + 4(x + 1) Reorder the terms: 11 + 6x = 6 + 4(1 + x) 11 + 6x = 6 + (1 * 4 + x * 4) 11 + 6x = 6 + (4 + 4x) Combine like terms: 6 + 4 = 10 11 + 6x = 10 + 4x Solving 11 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x 11 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 2x = 10 + 0 11 + 2x = 10 Add '-11' to each side of the equation. 11 + -11 + 2x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 10 + -11 2x = 10 + -11 Combine like terms: 10 + -11 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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