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Simplifying -170 = -5x + 7(4x + 2) Reorder the terms: -170 = -5x + 7(2 + 4x) -170 = -5x + (2 * 7 + 4x * 7) -170 = -5x + (14 + 28x) Reorder the terms: -170 = 14 + -5x + 28x Combine like terms: -5x + 28x = 23x -170 = 14 + 23x Solving -170 = 14 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -170 + -23x = 14 + 23x + -23x Combine like terms: 23x + -23x = 0 -170 + -23x = 14 + 0 -170 + -23x = 14 Add '170' to each side of the equation. -170 + 170 + -23x = 14 + 170 Combine like terms: -170 + 170 = 0 0 + -23x = 14 + 170 -23x = 14 + 170 Combine like terms: 14 + 170 = 184 -23x = 184 Divide each side by '-23'. x = -8 Simplifying x = -8
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