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Simplifying 5(x + -3) + -2 = 15x + -47 Reorder the terms: 5(-3 + x) + -2 = 15x + -47 (-3 * 5 + x * 5) + -2 = 15x + -47 (-15 + 5x) + -2 = 15x + -47 Reorder the terms: -15 + -2 + 5x = 15x + -47 Combine like terms: -15 + -2 = -17 -17 + 5x = 15x + -47 Reorder the terms: -17 + 5x = -47 + 15x Solving -17 + 5x = -47 + 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. -17 + 5x + -15x = -47 + 15x + -15x Combine like terms: 5x + -15x = -10x -17 + -10x = -47 + 15x + -15x Combine like terms: 15x + -15x = 0 -17 + -10x = -47 + 0 -17 + -10x = -47 Add '17' to each side of the equation. -17 + 17 + -10x = -47 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = -47 + 17 -10x = -47 + 17 Combine like terms: -47 + 17 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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