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Simplifying 4(x + 10) = 2x + 30 Reorder the terms: 4(10 + x) = 2x + 30 (10 * 4 + x * 4) = 2x + 30 (40 + 4x) = 2x + 30 Reorder the terms: 40 + 4x = 30 + 2x Solving 40 + 4x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 4x + -2x = 30 + 2x + -2x Combine like terms: 4x + -2x = 2x 40 + 2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 2x = 30 + 0 40 + 2x = 30 Add '-40' to each side of the equation. 40 + -40 + 2x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 30 + -40 2x = 30 + -40 Combine like terms: 30 + -40 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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