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Simplifying 4(15 + -34) = 4 + -5(x + 5) Combine like terms: 15 + -34 = -19 4(-19) = 4 + -5(x + 5) Multiply 4 * -19 -76 = 4 + -5(x + 5) Reorder the terms: -76 = 4 + -5(5 + x) -76 = 4 + (5 * -5 + x * -5) -76 = 4 + (-25 + -5x) Combine like terms: 4 + -25 = -21 -76 = -21 + -5x Solving -76 = -21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -76 + 5x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 -76 + 5x = -21 + 0 -76 + 5x = -21 Add '76' to each side of the equation. -76 + 76 + 5x = -21 + 76 Combine like terms: -76 + 76 = 0 0 + 5x = -21 + 76 5x = -21 + 76 Combine like terms: -21 + 76 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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