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Simplifying 8x + 10 + -3x + 2 = 2(x + 4) + x + 6 Reorder the terms: 10 + 2 + 8x + -3x = 2(x + 4) + x + 6 Combine like terms: 10 + 2 = 12 12 + 8x + -3x = 2(x + 4) + x + 6 Combine like terms: 8x + -3x = 5x 12 + 5x = 2(x + 4) + x + 6 Reorder the terms: 12 + 5x = 2(4 + x) + x + 6 12 + 5x = (4 * 2 + x * 2) + x + 6 12 + 5x = (8 + 2x) + x + 6 Reorder the terms: 12 + 5x = 8 + 6 + 2x + x Combine like terms: 8 + 6 = 14 12 + 5x = 14 + 2x + x Combine like terms: 2x + x = 3x 12 + 5x = 14 + 3x Solving 12 + 5x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 14 + 0 12 + 2x = 14 Add '-12' to each side of the equation. 12 + -12 + 2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 14 + -12 2x = 14 + -12 Combine like terms: 14 + -12 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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