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Simplifying 2(3x + 6) + 8x = 36 + 4(x + 8) Reorder the terms: 2(6 + 3x) + 8x = 36 + 4(x + 8) (6 * 2 + 3x * 2) + 8x = 36 + 4(x + 8) (12 + 6x) + 8x = 36 + 4(x + 8) Combine like terms: 6x + 8x = 14x 12 + 14x = 36 + 4(x + 8) Reorder the terms: 12 + 14x = 36 + 4(8 + x) 12 + 14x = 36 + (8 * 4 + x * 4) 12 + 14x = 36 + (32 + 4x) Combine like terms: 36 + 32 = 68 12 + 14x = 68 + 4x Solving 12 + 14x = 68 + 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. 12 + 14x + -4x = 68 + 4x + -4x Combine like terms: 14x + -4x = 10x 12 + 10x = 68 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 10x = 68 + 0 12 + 10x = 68 Add '-12' to each side of the equation. 12 + -12 + 10x = 68 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 68 + -12 10x = 68 + -12 Combine like terms: 68 + -12 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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