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Simplifying 312 = -8(5x + 1) Reorder the terms: 312 = -8(1 + 5x) 312 = (1 * -8 + 5x * -8) 312 = (-8 + -40x) Solving 312 = -8 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 312 + 40x = -8 + -40x + 40x Combine like terms: -40x + 40x = 0 312 + 40x = -8 + 0 312 + 40x = -8 Add '-312' to each side of the equation. 312 + -312 + 40x = -8 + -312 Combine like terms: 312 + -312 = 0 0 + 40x = -8 + -312 40x = -8 + -312 Combine like terms: -8 + -312 = -320 40x = -320 Divide each side by '40'. x = -8 Simplifying x = -8
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