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Simplifying 17 + -2(5x + -6 + -2x) = 7(-2x + 3) Reorder the terms: 17 + -2(-6 + 5x + -2x) = 7(-2x + 3) Combine like terms: 5x + -2x = 3x 17 + -2(-6 + 3x) = 7(-2x + 3) 17 + (-6 * -2 + 3x * -2) = 7(-2x + 3) 17 + (12 + -6x) = 7(-2x + 3) Combine like terms: 17 + 12 = 29 29 + -6x = 7(-2x + 3) Reorder the terms: 29 + -6x = 7(3 + -2x) 29 + -6x = (3 * 7 + -2x * 7) 29 + -6x = (21 + -14x) Solving 29 + -6x = 21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 29 + -6x + 14x = 21 + -14x + 14x Combine like terms: -6x + 14x = 8x 29 + 8x = 21 + -14x + 14x Combine like terms: -14x + 14x = 0 29 + 8x = 21 + 0 29 + 8x = 21 Add '-29' to each side of the equation. 29 + -29 + 8x = 21 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 21 + -29 8x = 21 + -29 Combine like terms: 21 + -29 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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