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Simplifying 2x + -4(x + -5) = -2 + 3x + 7 Reorder the terms: 2x + -4(-5 + x) = -2 + 3x + 7 2x + (-5 * -4 + x * -4) = -2 + 3x + 7 2x + (20 + -4x) = -2 + 3x + 7 Reorder the terms: 20 + 2x + -4x = -2 + 3x + 7 Combine like terms: 2x + -4x = -2x 20 + -2x = -2 + 3x + 7 Reorder the terms: 20 + -2x = -2 + 7 + 3x Combine like terms: -2 + 7 = 5 20 + -2x = 5 + 3x Solving 20 + -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. 20 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x 20 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -5x = 5 + 0 20 + -5x = 5 Add '-20' to each side of the equation. 20 + -20 + -5x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 5 + -20 -5x = 5 + -20 Combine like terms: 5 + -20 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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