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Simplifying 4(x + 30) = 6x Reorder the terms: 4(30 + x) = 6x (30 * 4 + x * 4) = 6x (120 + 4x) = 6x Solving 120 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 120 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 120 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 120 + -2x = 0 Add '-120' to each side of the equation. 120 + -120 + -2x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -2x = 0 + -120 -2x = 0 + -120 Combine like terms: 0 + -120 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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