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Simplifying 3x + -5(x + -3) = -7 + 5x + -34 Reorder the terms: 3x + -5(-3 + x) = -7 + 5x + -34 3x + (-3 * -5 + x * -5) = -7 + 5x + -34 3x + (15 + -5x) = -7 + 5x + -34 Reorder the terms: 15 + 3x + -5x = -7 + 5x + -34 Combine like terms: 3x + -5x = -2x 15 + -2x = -7 + 5x + -34 Reorder the terms: 15 + -2x = -7 + -34 + 5x Combine like terms: -7 + -34 = -41 15 + -2x = -41 + 5x Solving 15 + -2x = -41 + 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. 15 + -2x + -5x = -41 + 5x + -5x Combine like terms: -2x + -5x = -7x 15 + -7x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -7x = -41 + 0 15 + -7x = -41 Add '-15' to each side of the equation. 15 + -15 + -7x = -41 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -41 + -15 -7x = -41 + -15 Combine like terms: -41 + -15 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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