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Simplifying 6(x + 7) = 2x + 2 Reorder the terms: 6(7 + x) = 2x + 2 (7 * 6 + x * 6) = 2x + 2 (42 + 6x) = 2x + 2 Reorder the terms: 42 + 6x = 2 + 2x Solving 42 + 6x = 2 + 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. 42 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x 42 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 4x = 2 + 0 42 + 4x = 2 Add '-42' to each side of the equation. 42 + -42 + 4x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 2 + -42 4x = 2 + -42 Combine like terms: 2 + -42 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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