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Simplifying (x + 10) * 2 + (6x + -4) * 2 = 54 Reorder the terms: (10 + x) * 2 + (6x + -4) * 2 = 54 Reorder the terms for easier multiplication: 2(10 + x) + (6x + -4) * 2 = 54 (10 * 2 + x * 2) + (6x + -4) * 2 = 54 (20 + 2x) + (6x + -4) * 2 = 54 Reorder the terms: 20 + 2x + (-4 + 6x) * 2 = 54 Reorder the terms for easier multiplication: 20 + 2x + 2(-4 + 6x) = 54 20 + 2x + (-4 * 2 + 6x * 2) = 54 20 + 2x + (-8 + 12x) = 54 Reorder the terms: 20 + -8 + 2x + 12x = 54 Combine like terms: 20 + -8 = 12 12 + 2x + 12x = 54 Combine like terms: 2x + 12x = 14x 12 + 14x = 54 Solving 12 + 14x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 54 + -12 14x = 54 + -12 Combine like terms: 54 + -12 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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