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Simplifying 2x + -5(x + -3) = -2 + 4x + -39 Reorder the terms: 2x + -5(-3 + x) = -2 + 4x + -39 2x + (-3 * -5 + x * -5) = -2 + 4x + -39 2x + (15 + -5x) = -2 + 4x + -39 Reorder the terms: 15 + 2x + -5x = -2 + 4x + -39 Combine like terms: 2x + -5x = -3x 15 + -3x = -2 + 4x + -39 Reorder the terms: 15 + -3x = -2 + -39 + 4x Combine like terms: -2 + -39 = -41 15 + -3x = -41 + 4x Solving 15 + -3x = -41 + 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. 15 + -3x + -4x = -41 + 4x + -4x Combine like terms: -3x + -4x = -7x 15 + -7x = -41 + 4x + -4x Combine like terms: 4x + -4x = 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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