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Simplifying 3x + 32 + -3 = 7(5x + 5) Reorder the terms: 32 + -3 + 3x = 7(5x + 5) Combine like terms: 32 + -3 = 29 29 + 3x = 7(5x + 5) Reorder the terms: 29 + 3x = 7(5 + 5x) 29 + 3x = (5 * 7 + 5x * 7) 29 + 3x = (35 + 35x) Solving 29 + 3x = 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. 29 + 3x + -35x = 35 + 35x + -35x Combine like terms: 3x + -35x = -32x 29 + -32x = 35 + 35x + -35x Combine like terms: 35x + -35x = 0 29 + -32x = 35 + 0 29 + -32x = 35 Add '-29' to each side of the equation. 29 + -29 + -32x = 35 + -29 Combine like terms: 29 + -29 = 0 0 + -32x = 35 + -29 -32x = 35 + -29 Combine like terms: 35 + -29 = 6 -32x = 6 Divide each side by '-32'. x = -0.1875 Simplifying x = -0.1875
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