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Simplifying 2x + -5(x + -2) = -5 + 4x + -34 Reorder the terms: 2x + -5(-2 + x) = -5 + 4x + -34 2x + (-2 * -5 + x * -5) = -5 + 4x + -34 2x + (10 + -5x) = -5 + 4x + -34 Reorder the terms: 10 + 2x + -5x = -5 + 4x + -34 Combine like terms: 2x + -5x = -3x 10 + -3x = -5 + 4x + -34 Reorder the terms: 10 + -3x = -5 + -34 + 4x Combine like terms: -5 + -34 = -39 10 + -3x = -39 + 4x Solving 10 + -3x = -39 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -3x + -4x = -39 + 4x + -4x Combine like terms: -3x + -4x = -7x 10 + -7x = -39 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -7x = -39 + 0 10 + -7x = -39 Add '-10' to each side of the equation. 10 + -10 + -7x = -39 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -39 + -10 -7x = -39 + -10 Combine like terms: -39 + -10 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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