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Simplifying 3x + -5(x + -2) = -8 + 3x + 3 Reorder the terms: 3x + -5(-2 + x) = -8 + 3x + 3 3x + (-2 * -5 + x * -5) = -8 + 3x + 3 3x + (10 + -5x) = -8 + 3x + 3 Reorder the terms: 10 + 3x + -5x = -8 + 3x + 3 Combine like terms: 3x + -5x = -2x 10 + -2x = -8 + 3x + 3 Reorder the terms: 10 + -2x = -8 + 3 + 3x Combine like terms: -8 + 3 = -5 10 + -2x = -5 + 3x Solving 10 + -2x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -2x + -3x = -5 + 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5x = -5 + 0 10 + -5x = -5 Add '-10' to each side of the equation. 10 + -10 + -5x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -5 + -10 -5x = -5 + -10 Combine like terms: -5 + -10 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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