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Simplifying 5(2 + 2x) = 4(2 + x) + 3(x + 1) + 3 (2 * 5 + 2x * 5) = 4(2 + x) + 3(x + 1) + 3 (10 + 10x) = 4(2 + x) + 3(x + 1) + 3 10 + 10x = (2 * 4 + x * 4) + 3(x + 1) + 3 10 + 10x = (8 + 4x) + 3(x + 1) + 3 Reorder the terms: 10 + 10x = 8 + 4x + 3(1 + x) + 3 10 + 10x = 8 + 4x + (1 * 3 + x * 3) + 3 10 + 10x = 8 + 4x + (3 + 3x) + 3 Reorder the terms: 10 + 10x = 8 + 3 + 3 + 4x + 3x Combine like terms: 8 + 3 = 11 10 + 10x = 11 + 3 + 4x + 3x Combine like terms: 11 + 3 = 14 10 + 10x = 14 + 4x + 3x Combine like terms: 4x + 3x = 7x 10 + 10x = 14 + 7x Solving 10 + 10x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x 10 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 3x = 14 + 0 10 + 3x = 14 Add '-10' to each side of the equation. 10 + -10 + 3x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 14 + -10 3x = 14 + -10 Combine like terms: 14 + -10 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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