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Simplifying 5(x + 7) + -3(2x + 1) = 35 Reorder the terms: 5(7 + x) + -3(2x + 1) = 35 (7 * 5 + x * 5) + -3(2x + 1) = 35 (35 + 5x) + -3(2x + 1) = 35 Reorder the terms: 35 + 5x + -3(1 + 2x) = 35 35 + 5x + (1 * -3 + 2x * -3) = 35 35 + 5x + (-3 + -6x) = 35 Reorder the terms: 35 + -3 + 5x + -6x = 35 Combine like terms: 35 + -3 = 32 32 + 5x + -6x = 35 Combine like terms: 5x + -6x = -1x 32 + -1x = 35 Solving 32 + -1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 35 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 35 + -32 -1x = 35 + -32 Combine like terms: 35 + -32 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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