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Simplifying 2(5x + 5) = 3(3x + 1) + 4 Reorder the terms: 2(5 + 5x) = 3(3x + 1) + 4 (5 * 2 + 5x * 2) = 3(3x + 1) + 4 (10 + 10x) = 3(3x + 1) + 4 Reorder the terms: 10 + 10x = 3(1 + 3x) + 4 10 + 10x = (1 * 3 + 3x * 3) + 4 10 + 10x = (3 + 9x) + 4 Reorder the terms: 10 + 10x = 3 + 4 + 9x Combine like terms: 3 + 4 = 7 10 + 10x = 7 + 9x Solving 10 + 10x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x 10 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 1x = 7 + 0 10 + 1x = 7 Add '-10' to each side of the equation. 10 + -10 + 1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 7 + -10 1x = 7 + -10 Combine like terms: 7 + -10 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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