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Simplifying 5x + -7(3x + -6) = 170 Reorder the terms: 5x + -7(-6 + 3x) = 170 5x + (-6 * -7 + 3x * -7) = 170 5x + (42 + -21x) = 170 Reorder the terms: 42 + 5x + -21x = 170 Combine like terms: 5x + -21x = -16x 42 + -16x = 170 Solving 42 + -16x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -16x = 170 + -42 Combine like terms: 42 + -42 = 0 0 + -16x = 170 + -42 -16x = 170 + -42 Combine like terms: 170 + -42 = 128 -16x = 128 Divide each side by '-16'. x = -8 Simplifying x = -8
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