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Simplifying (3x + 5) * 2 = (2x + 15) + (6x + -37) Reorder the terms: (5 + 3x) * 2 = (2x + 15) + (6x + -37) Reorder the terms for easier multiplication: 2(5 + 3x) = (2x + 15) + (6x + -37) (5 * 2 + 3x * 2) = (2x + 15) + (6x + -37) (10 + 6x) = (2x + 15) + (6x + -37) Reorder the terms: 10 + 6x = (15 + 2x) + (6x + -37) Remove parenthesis around (15 + 2x) 10 + 6x = 15 + 2x + (6x + -37) Reorder the terms: 10 + 6x = 15 + 2x + (-37 + 6x) Remove parenthesis around (-37 + 6x) 10 + 6x = 15 + 2x + -37 + 6x Reorder the terms: 10 + 6x = 15 + -37 + 2x + 6x Combine like terms: 15 + -37 = -22 10 + 6x = -22 + 2x + 6x Combine like terms: 2x + 6x = 8x 10 + 6x = -22 + 8x Solving 10 + 6x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 6x + -8x = -22 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -22 + 0 10 + -2x = -22 Add '-10' to each side of the equation. 10 + -10 + -2x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -22 + -10 -2x = -22 + -10 Combine like terms: -22 + -10 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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