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Simplifying 6 + -2(2x + 2) = x + 17 Reorder the terms: 6 + -2(2 + 2x) = x + 17 6 + (2 * -2 + 2x * -2) = x + 17 6 + (-4 + -4x) = x + 17 Combine like terms: 6 + -4 = 2 2 + -4x = x + 17 Reorder the terms: 2 + -4x = 17 + x Solving 2 + -4x = 17 + 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. 2 + -4x + -1x = 17 + x + -1x Combine like terms: -4x + -1x = -5x 2 + -5x = 17 + x + -1x Combine like terms: x + -1x = 0 2 + -5x = 17 + 0 2 + -5x = 17 Add '-2' to each side of the equation. 2 + -2 + -5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 17 + -2 -5x = 17 + -2 Combine like terms: 17 + -2 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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