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Simplifying -312 = 6x + -5(4 + -7x) -312 = 6x + (4 * -5 + -7x * -5) -312 = 6x + (-20 + 35x) Reorder the terms: -312 = -20 + 6x + 35x Combine like terms: 6x + 35x = 41x -312 = -20 + 41x Solving -312 = -20 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. -312 + -41x = -20 + 41x + -41x Combine like terms: 41x + -41x = 0 -312 + -41x = -20 + 0 -312 + -41x = -20 Add '312' to each side of the equation. -312 + 312 + -41x = -20 + 312 Combine like terms: -312 + 312 = 0 0 + -41x = -20 + 312 -41x = -20 + 312 Combine like terms: -20 + 312 = 292 -41x = 292 Divide each side by '-41'. x = -7.12195122 Simplifying x = -7.12195122
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