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Simplifying 3x + -5(x + -2) = -8 + 4x + -12 Reorder the terms: 3x + -5(-2 + x) = -8 + 4x + -12 3x + (-2 * -5 + x * -5) = -8 + 4x + -12 3x + (10 + -5x) = -8 + 4x + -12 Reorder the terms: 10 + 3x + -5x = -8 + 4x + -12 Combine like terms: 3x + -5x = -2x 10 + -2x = -8 + 4x + -12 Reorder the terms: 10 + -2x = -8 + -12 + 4x Combine like terms: -8 + -12 = -20 10 + -2x = -20 + 4x Solving 10 + -2x = -20 + 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 + -2x + -4x = -20 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = -20 + 0 10 + -6x = -20 Add '-10' to each side of the equation. 10 + -10 + -6x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -20 + -10 -6x = -20 + -10 Combine like terms: -20 + -10 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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