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Simplifying 17 + -1(x + 7) = 6x + -4 Reorder the terms: 17 + -1(7 + x) = 6x + -4 17 + (7 * -1 + x * -1) = 6x + -4 17 + (-7 + -1x) = 6x + -4 Combine like terms: 17 + -7 = 10 10 + -1x = 6x + -4 Reorder the terms: 10 + -1x = -4 + 6x Solving 10 + -1x = -4 + 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. 10 + -1x + -6x = -4 + 6x + -6x Combine like terms: -1x + -6x = -7x 10 + -7x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -7x = -4 + 0 10 + -7x = -4 Add '-10' to each side of the equation. 10 + -10 + -7x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -4 + -10 -7x = -4 + -10 Combine like terms: -4 + -10 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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