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Simplifying 6(x + 2) + -2(2x + 3) + 4x = 36 Reorder the terms: 6(2 + x) + -2(2x + 3) + 4x = 36 (2 * 6 + x * 6) + -2(2x + 3) + 4x = 36 (12 + 6x) + -2(2x + 3) + 4x = 36 Reorder the terms: 12 + 6x + -2(3 + 2x) + 4x = 36 12 + 6x + (3 * -2 + 2x * -2) + 4x = 36 12 + 6x + (-6 + -4x) + 4x = 36 Reorder the terms: 12 + -6 + 6x + -4x + 4x = 36 Combine like terms: 12 + -6 = 6 6 + 6x + -4x + 4x = 36 Combine like terms: 6x + -4x = 2x 6 + 2x + 4x = 36 Combine like terms: 2x + 4x = 6x 6 + 6x = 36 Solving 6 + 6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 36 + -6 6x = 36 + -6 Combine like terms: 36 + -6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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