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