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Simplifying -5(3x + -8) + 7 = 15x + 47 Reorder the terms: -5(-8 + 3x) + 7 = 15x + 47 (-8 * -5 + 3x * -5) + 7 = 15x + 47 (40 + -15x) + 7 = 15x + 47 Reorder the terms: 40 + 7 + -15x = 15x + 47 Combine like terms: 40 + 7 = 47 47 + -15x = 15x + 47 Reorder the terms: 47 + -15x = 47 + 15x Add '-47' to each side of the equation. 47 + -47 + -15x = 47 + -47 + 15x Combine like terms: 47 + -47 = 0 0 + -15x = 47 + -47 + 15x -15x = 47 + -47 + 15x Combine like terms: 47 + -47 = 0 -15x = 0 + 15x -15x = 15x Solving -15x = 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. -15x + -15x = 15x + -15x Combine like terms: -15x + -15x = -30x -30x = 15x + -15x Combine like terms: 15x + -15x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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