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Simplifying 312 = -5x + -6(-7x + -15) Reorder the terms: 312 = -5x + -6(-15 + -7x) 312 = -5x + (-15 * -6 + -7x * -6) 312 = -5x + (90 + 42x) Reorder the terms: 312 = 90 + -5x + 42x Combine like terms: -5x + 42x = 37x 312 = 90 + 37x Solving 312 = 90 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. 312 + -37x = 90 + 37x + -37x Combine like terms: 37x + -37x = 0 312 + -37x = 90 + 0 312 + -37x = 90 Add '-312' to each side of the equation. 312 + -312 + -37x = 90 + -312 Combine like terms: 312 + -312 = 0 0 + -37x = 90 + -312 -37x = 90 + -312 Combine like terms: 90 + -312 = -222 -37x = -222 Divide each side by '-37'. x = 6 Simplifying x = 6
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