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Simplifying 76 = 4x + 3(-5x + -15) Reorder the terms: 76 = 4x + 3(-15 + -5x) 76 = 4x + (-15 * 3 + -5x * 3) 76 = 4x + (-45 + -15x) Reorder the terms: 76 = -45 + 4x + -15x Combine like terms: 4x + -15x = -11x 76 = -45 + -11x Solving 76 = -45 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 76 + 11x = -45 + -11x + 11x Combine like terms: -11x + 11x = 0 76 + 11x = -45 + 0 76 + 11x = -45 Add '-76' to each side of the equation. 76 + -76 + 11x = -45 + -76 Combine like terms: 76 + -76 = 0 0 + 11x = -45 + -76 11x = -45 + -76 Combine like terms: -45 + -76 = -121 11x = -121 Divide each side by '11'. x = -11 Simplifying x = -11
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