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Simplifying -8(x + 7) + 3 = 6x + 17 Reorder the terms: -8(7 + x) + 3 = 6x + 17 (7 * -8 + x * -8) + 3 = 6x + 17 (-56 + -8x) + 3 = 6x + 17 Reorder the terms: -56 + 3 + -8x = 6x + 17 Combine like terms: -56 + 3 = -53 -53 + -8x = 6x + 17 Reorder the terms: -53 + -8x = 17 + 6x Solving -53 + -8x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -53 + -8x + -6x = 17 + 6x + -6x Combine like terms: -8x + -6x = -14x -53 + -14x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + -14x = 17 + 0 -53 + -14x = 17 Add '53' to each side of the equation. -53 + 53 + -14x = 17 + 53 Combine like terms: -53 + 53 = 0 0 + -14x = 17 + 53 -14x = 17 + 53 Combine like terms: 17 + 53 = 70 -14x = 70 Divide each side by '-14'. x = -5 Simplifying x = -5
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