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Simplifying 8x + -1(4x + 7) + 17 = 2x Reorder the terms: 8x + -1(7 + 4x) + 17 = 2x 8x + (7 * -1 + 4x * -1) + 17 = 2x 8x + (-7 + -4x) + 17 = 2x Reorder the terms: -7 + 17 + 8x + -4x = 2x Combine like terms: -7 + 17 = 10 10 + 8x + -4x = 2x Combine like terms: 8x + -4x = 4x 10 + 4x = 2x Solving 10 + 4x = 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. 10 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 0 Add '-10' to each side of the equation. 10 + -10 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 0 + -10 2x = 0 + -10 Combine like terms: 0 + -10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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