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Simplifying 5x + 13 = -47 + -10x Reorder the terms: 13 + 5x = -47 + -10x Solving 13 + 5x = -47 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 13 + 5x + 10x = -47 + -10x + 10x Combine like terms: 5x + 10x = 15x 13 + 15x = -47 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 15x = -47 + 0 13 + 15x = -47 Add '-13' to each side of the equation. 13 + -13 + 15x = -47 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = -47 + -13 15x = -47 + -13 Combine like terms: -47 + -13 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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