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Simplifying 6x + 2 = 5(x + -2) + 7 Reorder the terms: 2 + 6x = 5(x + -2) + 7 Reorder the terms: 2 + 6x = 5(-2 + x) + 7 2 + 6x = (-2 * 5 + x * 5) + 7 2 + 6x = (-10 + 5x) + 7 Reorder the terms: 2 + 6x = -10 + 7 + 5x Combine like terms: -10 + 7 = -3 2 + 6x = -3 + 5x Solving 2 + 6x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 6x + -5x = -3 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = -3 + 0 2 + 1x = -3 Add '-2' to each side of the equation. 2 + -2 + 1x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -3 + -2 1x = -3 + -2 Combine like terms: -3 + -2 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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