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Simplifying -4(x + -8) + -2(x + 5) = 70 Reorder the terms: -4(-8 + x) + -2(x + 5) = 70 (-8 * -4 + x * -4) + -2(x + 5) = 70 (32 + -4x) + -2(x + 5) = 70 Reorder the terms: 32 + -4x + -2(5 + x) = 70 32 + -4x + (5 * -2 + x * -2) = 70 32 + -4x + (-10 + -2x) = 70 Reorder the terms: 32 + -10 + -4x + -2x = 70 Combine like terms: 32 + -10 = 22 22 + -4x + -2x = 70 Combine like terms: -4x + -2x = -6x 22 + -6x = 70 Solving 22 + -6x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -6x = 70 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 70 + -22 -6x = 70 + -22 Combine like terms: 70 + -22 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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