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Simplifying 3(x + 6) + x = 2(x + 4) + -5 Reorder the terms: 3(6 + x) + x = 2(x + 4) + -5 (6 * 3 + x * 3) + x = 2(x + 4) + -5 (18 + 3x) + x = 2(x + 4) + -5 Combine like terms: 3x + x = 4x 18 + 4x = 2(x + 4) + -5 Reorder the terms: 18 + 4x = 2(4 + x) + -5 18 + 4x = (4 * 2 + x * 2) + -5 18 + 4x = (8 + 2x) + -5 Reorder the terms: 18 + 4x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 18 + 4x = 3 + 2x Solving 18 + 4x = 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. 18 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = 3 + 0 18 + 2x = 3 Add '-18' to each side of the equation. 18 + -18 + 2x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 3 + -18 2x = 3 + -18 Combine like terms: 3 + -18 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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