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Simplifying 5(x) + 2 * 5(x + 1) = 3(x) + 2 + 2 * 3(x) Reorder the terms: 5x + 2 * 5(1 + x) = 3(x) + 2 + 2 * 3(x) Multiply 2 * 5 5x + 10(1 + x) = 3(x) + 2 + 2 * 3(x) 5x + (1 * 10 + x * 10) = 3(x) + 2 + 2 * 3(x) 5x + (10 + 10x) = 3(x) + 2 + 2 * 3(x) Reorder the terms: 10 + 5x + 10x = 3(x) + 2 + 2 * 3(x) Combine like terms: 5x + 10x = 15x 10 + 15x = 3(x) + 2 + 2 * 3(x) Multiply 2 * 3 10 + 15x = 3x + 2 + 6x Reorder the terms: 10 + 15x = 2 + 3x + 6x Combine like terms: 3x + 6x = 9x 10 + 15x = 2 + 9x Solving 10 + 15x = 2 + 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 + 15x + -9x = 2 + 9x + -9x Combine like terms: 15x + -9x = 6x 10 + 6x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 6x = 2 + 0 10 + 6x = 2 Add '-10' to each side of the equation. 10 + -10 + 6x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 2 + -10 6x = 2 + -10 Combine like terms: 2 + -10 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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