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Simplifying 3x + -5 = 7(6 + 5x) Reorder the terms: -5 + 3x = 7(6 + 5x) -5 + 3x = (6 * 7 + 5x * 7) -5 + 3x = (42 + 35x) Solving -5 + 3x = 42 + 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. -5 + 3x + -35x = 42 + 35x + -35x Combine like terms: 3x + -35x = -32x -5 + -32x = 42 + 35x + -35x Combine like terms: 35x + -35x = 0 -5 + -32x = 42 + 0 -5 + -32x = 42 Add '5' to each side of the equation. -5 + 5 + -32x = 42 + 5 Combine like terms: -5 + 5 = 0 0 + -32x = 42 + 5 -32x = 42 + 5 Combine like terms: 42 + 5 = 47 -32x = 47 Divide each side by '-32'. x = -1.46875 Simplifying x = -1.46875
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