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Simplifying 2x + 4 + -3(-2x + 1) = 2x + -17 Reorder the terms: 2x + 4 + -3(1 + -2x) = 2x + -17 2x + 4 + (1 * -3 + -2x * -3) = 2x + -17 2x + 4 + (-3 + 6x) = 2x + -17 Reorder the terms: 4 + -3 + 2x + 6x = 2x + -17 Combine like terms: 4 + -3 = 1 1 + 2x + 6x = 2x + -17 Combine like terms: 2x + 6x = 8x 1 + 8x = 2x + -17 Reorder the terms: 1 + 8x = -17 + 2x Solving 1 + 8x = -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. 1 + 8x + -2x = -17 + 2x + -2x Combine like terms: 8x + -2x = 6x 1 + 6x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 6x = -17 + 0 1 + 6x = -17 Add '-1' to each side of the equation. 1 + -1 + 6x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -17 + -1 6x = -17 + -1 Combine like terms: -17 + -1 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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