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Simplifying 2(10x + 8) + -70 = 5(2x + -20) + 76 Reorder the terms: 2(8 + 10x) + -70 = 5(2x + -20) + 76 (8 * 2 + 10x * 2) + -70 = 5(2x + -20) + 76 (16 + 20x) + -70 = 5(2x + -20) + 76 Reorder the terms: 16 + -70 + 20x = 5(2x + -20) + 76 Combine like terms: 16 + -70 = -54 -54 + 20x = 5(2x + -20) + 76 Reorder the terms: -54 + 20x = 5(-20 + 2x) + 76 -54 + 20x = (-20 * 5 + 2x * 5) + 76 -54 + 20x = (-100 + 10x) + 76 Reorder the terms: -54 + 20x = -100 + 76 + 10x Combine like terms: -100 + 76 = -24 -54 + 20x = -24 + 10x Solving -54 + 20x = -24 + 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. -54 + 20x + -10x = -24 + 10x + -10x Combine like terms: 20x + -10x = 10x -54 + 10x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + 10x = -24 + 0 -54 + 10x = -24 Add '54' to each side of the equation. -54 + 54 + 10x = -24 + 54 Combine like terms: -54 + 54 = 0 0 + 10x = -24 + 54 10x = -24 + 54 Combine like terms: -24 + 54 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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