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Simplifying x + (x + -30) + 4(x + -30) = 120 Reorder the terms: x + (-30 + x) + 4(x + -30) = 120 Remove parenthesis around (-30 + x) x + -30 + x + 4(x + -30) = 120 Reorder the terms: x + -30 + x + 4(-30 + x) = 120 x + -30 + x + (-30 * 4 + x * 4) = 120 x + -30 + x + (-120 + 4x) = 120 Reorder the terms: -30 + -120 + x + x + 4x = 120 Combine like terms: -30 + -120 = -150 -150 + x + x + 4x = 120 Combine like terms: x + x = 2x -150 + 2x + 4x = 120 Combine like terms: 2x + 4x = 6x -150 + 6x = 120 Solving -150 + 6x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + 6x = 120 + 150 Combine like terms: -150 + 150 = 0 0 + 6x = 120 + 150 6x = 120 + 150 Combine like terms: 120 + 150 = 270 6x = 270 Divide each side by '6'. x = 45 Simplifying x = 45
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