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Simplifying 3(x + 2) + 10 = 4(x + 5) + -12 Reorder the terms: 3(2 + x) + 10 = 4(x + 5) + -12 (2 * 3 + x * 3) + 10 = 4(x + 5) + -12 (6 + 3x) + 10 = 4(x + 5) + -12 Reorder the terms: 6 + 10 + 3x = 4(x + 5) + -12 Combine like terms: 6 + 10 = 16 16 + 3x = 4(x + 5) + -12 Reorder the terms: 16 + 3x = 4(5 + x) + -12 16 + 3x = (5 * 4 + x * 4) + -12 16 + 3x = (20 + 4x) + -12 Reorder the terms: 16 + 3x = 20 + -12 + 4x Combine like terms: 20 + -12 = 8 16 + 3x = 8 + 4x Solving 16 + 3x = 8 + 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. 16 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 16 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -1x = 8 + 0 16 + -1x = 8 Add '-16' to each side of the equation. 16 + -16 + -1x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 8 + -16 -1x = 8 + -16 Combine like terms: 8 + -16 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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