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Simplifying -47 = 3(5x + 2) + -8 Reorder the terms: -47 = 3(2 + 5x) + -8 -47 = (2 * 3 + 5x * 3) + -8 -47 = (6 + 15x) + -8 Reorder the terms: -47 = 6 + -8 + 15x Combine like terms: 6 + -8 = -2 -47 = -2 + 15x Solving -47 = -2 + 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. -47 + -15x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -47 + -15x = -2 + 0 -47 + -15x = -2 Add '47' to each side of the equation. -47 + 47 + -15x = -2 + 47 Combine like terms: -47 + 47 = 0 0 + -15x = -2 + 47 -15x = -2 + 47 Combine like terms: -2 + 47 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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