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Simplifying -7 + 2x = 11 + -2(x + -3) Reorder the terms: -7 + 2x = 11 + -2(-3 + x) -7 + 2x = 11 + (-3 * -2 + x * -2) -7 + 2x = 11 + (6 + -2x) Combine like terms: 11 + 6 = 17 -7 + 2x = 17 + -2x Solving -7 + 2x = 17 + -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. -7 + 2x + 2x = 17 + -2x + 2x Combine like terms: 2x + 2x = 4x -7 + 4x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 4x = 17 + 0 -7 + 4x = 17 Add '7' to each side of the equation. -7 + 7 + 4x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 17 + 7 4x = 17 + 7 Combine like terms: 17 + 7 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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