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Simplifying 2(3x + 8) = 10x + 12 Reorder the terms: 2(8 + 3x) = 10x + 12 (8 * 2 + 3x * 2) = 10x + 12 (16 + 6x) = 10x + 12 Reorder the terms: 16 + 6x = 12 + 10x Solving 16 + 6x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 16 + 6x + -10x = 12 + 10x + -10x Combine like terms: 6x + -10x = -4x 16 + -4x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -4x = 12 + 0 16 + -4x = 12 Add '-16' to each side of the equation. 16 + -16 + -4x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 12 + -16 -4x = 12 + -16 Combine like terms: 12 + -16 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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