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Simplifying 5(2 + 3x) = 43 + -1(x + 1) (2 * 5 + 3x * 5) = 43 + -1(x + 1) (10 + 15x) = 43 + -1(x + 1) Reorder the terms: 10 + 15x = 43 + -1(1 + x) 10 + 15x = 43 + (1 * -1 + x * -1) 10 + 15x = 43 + (-1 + -1x) Combine like terms: 43 + -1 = 42 10 + 15x = 42 + -1x Solving 10 + 15x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 15x + x = 42 + -1x + x Combine like terms: 15x + x = 16x 10 + 16x = 42 + -1x + x Combine like terms: -1x + x = 0 10 + 16x = 42 + 0 10 + 16x = 42 Add '-10' to each side of the equation. 10 + -10 + 16x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = 42 + -10 16x = 42 + -10 Combine like terms: 42 + -10 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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