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Simplifying 2x + 30 = 4(x + 5) Reorder the terms: 30 + 2x = 4(x + 5) Reorder the terms: 30 + 2x = 4(5 + x) 30 + 2x = (5 * 4 + x * 4) 30 + 2x = (20 + 4x) Solving 30 + 2x = 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. 30 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 30 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -2x = 20 + 0 30 + -2x = 20 Add '-30' to each side of the equation. 30 + -30 + -2x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 20 + -30 -2x = 20 + -30 Combine like terms: 20 + -30 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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