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Simplifying 6(x + 2) = 2x + 40 Reorder the terms: 6(2 + x) = 2x + 40 (2 * 6 + x * 6) = 2x + 40 (12 + 6x) = 2x + 40 Reorder the terms: 12 + 6x = 40 + 2x Solving 12 + 6x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 6x + -2x = 40 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 40 + 0 12 + 4x = 40 Add '-12' to each side of the equation. 12 + -12 + 4x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 40 + -12 4x = 40 + -12 Combine like terms: 40 + -12 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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