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Simplifying 6(x + 3) + 15 = 2(x + 7) + 11 Reorder the terms: 6(3 + x) + 15 = 2(x + 7) + 11 (3 * 6 + x * 6) + 15 = 2(x + 7) + 11 (18 + 6x) + 15 = 2(x + 7) + 11 Reorder the terms: 18 + 15 + 6x = 2(x + 7) + 11 Combine like terms: 18 + 15 = 33 33 + 6x = 2(x + 7) + 11 Reorder the terms: 33 + 6x = 2(7 + x) + 11 33 + 6x = (7 * 2 + x * 2) + 11 33 + 6x = (14 + 2x) + 11 Reorder the terms: 33 + 6x = 14 + 11 + 2x Combine like terms: 14 + 11 = 25 33 + 6x = 25 + 2x Solving 33 + 6x = 25 + 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. 33 + 6x + -2x = 25 + 2x + -2x Combine like terms: 6x + -2x = 4x 33 + 4x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + 4x = 25 + 0 33 + 4x = 25 Add '-33' to each side of the equation. 33 + -33 + 4x = 25 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 25 + -33 4x = 25 + -33 Combine like terms: 25 + -33 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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