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Simplifying 10 + -1(x + -7) = 6x + -7 Reorder the terms: 10 + -1(-7 + x) = 6x + -7 10 + (-7 * -1 + x * -1) = 6x + -7 10 + (7 + -1x) = 6x + -7 Combine like terms: 10 + 7 = 17 17 + -1x = 6x + -7 Reorder the terms: 17 + -1x = -7 + 6x Solving 17 + -1x = -7 + 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. 17 + -1x + -6x = -7 + 6x + -6x Combine like terms: -1x + -6x = -7x 17 + -7x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -7x = -7 + 0 17 + -7x = -7 Add '-17' to each side of the equation. 17 + -17 + -7x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -7 + -17 -7x = -7 + -17 Combine like terms: -7 + -17 = -24 -7x = -24 Divide each side by '-7'. x = 3.428571429 Simplifying x = 3.428571429
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