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Simplifying 2(4x + 10) = 10x + 30 Reorder the terms: 2(10 + 4x) = 10x + 30 (10 * 2 + 4x * 2) = 10x + 30 (20 + 8x) = 10x + 30 Reorder the terms: 20 + 8x = 30 + 10x Solving 20 + 8x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 8x + -10x = 30 + 10x + -10x Combine like terms: 8x + -10x = -2x 20 + -2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -2x = 30 + 0 20 + -2x = 30 Add '-20' to each side of the equation. 20 + -20 + -2x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 30 + -20 -2x = 30 + -20 Combine like terms: 30 + -20 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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