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Simplifying 4x + 10 = 100 + -7x Reorder the terms: 10 + 4x = 100 + -7x Solving 10 + 4x = 100 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 4x + 7x = 100 + -7x + 7x Combine like terms: 4x + 7x = 11x 10 + 11x = 100 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 11x = 100 + 0 10 + 11x = 100 Add '-10' to each side of the equation. 10 + -10 + 11x = 100 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 100 + -10 11x = 100 + -10 Combine like terms: 100 + -10 = 90 11x = 90 Divide each side by '11'. x = 8.181818182 Simplifying x = 8.181818182
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