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Simplifying 47x + 10 = 15x + -100 Reorder the terms: 10 + 47x = 15x + -100 Reorder the terms: 10 + 47x = -100 + 15x Solving 10 + 47x = -100 + 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. 10 + 47x + -15x = -100 + 15x + -15x Combine like terms: 47x + -15x = 32x 10 + 32x = -100 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 32x = -100 + 0 10 + 32x = -100 Add '-10' to each side of the equation. 10 + -10 + 32x = -100 + -10 Combine like terms: 10 + -10 = 0 0 + 32x = -100 + -10 32x = -100 + -10 Combine like terms: -100 + -10 = -110 32x = -110 Divide each side by '32'. x = -3.4375 Simplifying x = -3.4375
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