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Simplifying 10 + 5(7 + -6x) = 17 + -16x 10 + (7 * 5 + -6x * 5) = 17 + -16x 10 + (35 + -30x) = 17 + -16x Combine like terms: 10 + 35 = 45 45 + -30x = 17 + -16x Solving 45 + -30x = 17 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 45 + -30x + 16x = 17 + -16x + 16x Combine like terms: -30x + 16x = -14x 45 + -14x = 17 + -16x + 16x Combine like terms: -16x + 16x = 0 45 + -14x = 17 + 0 45 + -14x = 17 Add '-45' to each side of the equation. 45 + -45 + -14x = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -14x = 17 + -45 -14x = 17 + -45 Combine like terms: 17 + -45 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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