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Simplifying 5(x + 3) + -7x + 17 = 30 Reorder the terms: 5(3 + x) + -7x + 17 = 30 (3 * 5 + x * 5) + -7x + 17 = 30 (15 + 5x) + -7x + 17 = 30 Reorder the terms: 15 + 17 + 5x + -7x = 30 Combine like terms: 15 + 17 = 32 32 + 5x + -7x = 30 Combine like terms: 5x + -7x = -2x 32 + -2x = 30 Solving 32 + -2x = 30 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 + -2x = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 30 + -32 -2x = 30 + -32 Combine like terms: 30 + -32 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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