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Simplifying 3x + 5 + -2x = -4(x + -5) Reorder the terms: 5 + 3x + -2x = -4(x + -5) Combine like terms: 3x + -2x = 1x 5 + 1x = -4(x + -5) Reorder the terms: 5 + 1x = -4(-5 + x) 5 + 1x = (-5 * -4 + x * -4) 5 + 1x = (20 + -4x) Solving 5 + 1x = 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. 5 + 1x + 4x = 20 + -4x + 4x Combine like terms: 1x + 4x = 5x 5 + 5x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 5x = 20 + 0 5 + 5x = 20 Add '-5' to each side of the equation. 5 + -5 + 5x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 20 + -5 5x = 20 + -5 Combine like terms: 20 + -5 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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