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Simplifying 6x + 100 = 13x + 4 Reorder the terms: 100 + 6x = 13x + 4 Reorder the terms: 100 + 6x = 4 + 13x Solving 100 + 6x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 100 + 6x + -13x = 4 + 13x + -13x Combine like terms: 6x + -13x = -7x 100 + -7x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 100 + -7x = 4 + 0 100 + -7x = 4 Add '-100' to each side of the equation. 100 + -100 + -7x = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -7x = 4 + -100 -7x = 4 + -100 Combine like terms: 4 + -100 = -96 -7x = -96 Divide each side by '-7'. x = 13.71428571 Simplifying x = 13.71428571
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