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Simplifying (3x + -1) + (5x + 3) = 15x + -5 Reorder the terms: (-1 + 3x) + (5x + 3) = 15x + -5 Remove parenthesis around (-1 + 3x) -1 + 3x + (5x + 3) = 15x + -5 Reorder the terms: -1 + 3x + (3 + 5x) = 15x + -5 Remove parenthesis around (3 + 5x) -1 + 3x + 3 + 5x = 15x + -5 Reorder the terms: -1 + 3 + 3x + 5x = 15x + -5 Combine like terms: -1 + 3 = 2 2 + 3x + 5x = 15x + -5 Combine like terms: 3x + 5x = 8x 2 + 8x = 15x + -5 Reorder the terms: 2 + 8x = -5 + 15x Solving 2 + 8x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 8x + -15x = -5 + 15x + -15x Combine like terms: 8x + -15x = -7x 2 + -7x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -7x = -5 + 0 2 + -7x = -5 Add '-2' to each side of the equation. 2 + -2 + -7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -5 + -2 -7x = -5 + -2 Combine like terms: -5 + -2 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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