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Simplifying 5(x + 1) + -7(2x + 3) = 35x + 35 Reorder the terms: 5(1 + x) + -7(2x + 3) = 35x + 35 (1 * 5 + x * 5) + -7(2x + 3) = 35x + 35 (5 + 5x) + -7(2x + 3) = 35x + 35 Reorder the terms: 5 + 5x + -7(3 + 2x) = 35x + 35 5 + 5x + (3 * -7 + 2x * -7) = 35x + 35 5 + 5x + (-21 + -14x) = 35x + 35 Reorder the terms: 5 + -21 + 5x + -14x = 35x + 35 Combine like terms: 5 + -21 = -16 -16 + 5x + -14x = 35x + 35 Combine like terms: 5x + -14x = -9x -16 + -9x = 35x + 35 Reorder the terms: -16 + -9x = 35 + 35x Solving -16 + -9x = 35 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -16 + -9x + -35x = 35 + 35x + -35x Combine like terms: -9x + -35x = -44x -16 + -44x = 35 + 35x + -35x Combine like terms: 35x + -35x = 0 -16 + -44x = 35 + 0 -16 + -44x = 35 Add '16' to each side of the equation. -16 + 16 + -44x = 35 + 16 Combine like terms: -16 + 16 = 0 0 + -44x = 35 + 16 -44x = 35 + 16 Combine like terms: 35 + 16 = 51 -44x = 51 Divide each side by '-44'. x = -1.159090909 Simplifying x = -1.159090909
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