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Simplifying 3x + -20 = -4(x + -30) Reorder the terms: -20 + 3x = -4(x + -30) Reorder the terms: -20 + 3x = -4(-30 + x) -20 + 3x = (-30 * -4 + x * -4) -20 + 3x = (120 + -4x) Solving -20 + 3x = 120 + -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. -20 + 3x + 4x = 120 + -4x + 4x Combine like terms: 3x + 4x = 7x -20 + 7x = 120 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 7x = 120 + 0 -20 + 7x = 120 Add '20' to each side of the equation. -20 + 20 + 7x = 120 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 120 + 20 7x = 120 + 20 Combine like terms: 120 + 20 = 140 7x = 140 Divide each side by '7'. x = 20 Simplifying x = 20
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