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Simplifying 17 + -4(2x + -7) + x = -9 + 2x Reorder the terms: 17 + -4(-7 + 2x) + x = -9 + 2x 17 + (-7 * -4 + 2x * -4) + x = -9 + 2x 17 + (28 + -8x) + x = -9 + 2x Combine like terms: 17 + 28 = 45 45 + -8x + x = -9 + 2x Combine like terms: -8x + x = -7x 45 + -7x = -9 + 2x Solving 45 + -7x = -9 + 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. 45 + -7x + -2x = -9 + 2x + -2x Combine like terms: -7x + -2x = -9x 45 + -9x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -9x = -9 + 0 45 + -9x = -9 Add '-45' to each side of the equation. 45 + -45 + -9x = -9 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = -9 + -45 -9x = -9 + -45 Combine like terms: -9 + -45 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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