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Simplifying 3x + 4 + 6(x + 5) = 2(x + 3) Reorder the terms: 3x + 4 + 6(5 + x) = 2(x + 3) 3x + 4 + (5 * 6 + x * 6) = 2(x + 3) 3x + 4 + (30 + 6x) = 2(x + 3) Reorder the terms: 4 + 30 + 3x + 6x = 2(x + 3) Combine like terms: 4 + 30 = 34 34 + 3x + 6x = 2(x + 3) Combine like terms: 3x + 6x = 9x 34 + 9x = 2(x + 3) Reorder the terms: 34 + 9x = 2(3 + x) 34 + 9x = (3 * 2 + x * 2) 34 + 9x = (6 + 2x) Solving 34 + 9x = 6 + 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. 34 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x 34 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + 7x = 6 + 0 34 + 7x = 6 Add '-34' to each side of the equation. 34 + -34 + 7x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 6 + -34 7x = 6 + -34 Combine like terms: 6 + -34 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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