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Simplifying 12(x + 2) + 10 = 4(x + 5) + 12 Reorder the terms: 12(2 + x) + 10 = 4(x + 5) + 12 (2 * 12 + x * 12) + 10 = 4(x + 5) + 12 (24 + 12x) + 10 = 4(x + 5) + 12 Reorder the terms: 24 + 10 + 12x = 4(x + 5) + 12 Combine like terms: 24 + 10 = 34 34 + 12x = 4(x + 5) + 12 Reorder the terms: 34 + 12x = 4(5 + x) + 12 34 + 12x = (5 * 4 + x * 4) + 12 34 + 12x = (20 + 4x) + 12 Reorder the terms: 34 + 12x = 20 + 12 + 4x Combine like terms: 20 + 12 = 32 34 + 12x = 32 + 4x Solving 34 + 12x = 32 + 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. 34 + 12x + -4x = 32 + 4x + -4x Combine like terms: 12x + -4x = 8x 34 + 8x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + 8x = 32 + 0 34 + 8x = 32 Add '-34' to each side of the equation. 34 + -34 + 8x = 32 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = 32 + -34 8x = 32 + -34 Combine like terms: 32 + -34 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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