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Simplifying -10(58) + 70x = 5(x + -12) Multiply -10 * 58 -580 + 70x = 5(x + -12) Reorder the terms: -580 + 70x = 5(-12 + x) -580 + 70x = (-12 * 5 + x * 5) -580 + 70x = (-60 + 5x) Solving -580 + 70x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -580 + 70x + -5x = -60 + 5x + -5x Combine like terms: 70x + -5x = 65x -580 + 65x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 -580 + 65x = -60 + 0 -580 + 65x = -60 Add '580' to each side of the equation. -580 + 580 + 65x = -60 + 580 Combine like terms: -580 + 580 = 0 0 + 65x = -60 + 580 65x = -60 + 580 Combine like terms: -60 + 580 = 520 65x = 520 Divide each side by '65'. x = 8 Simplifying x = 8
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