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Simplifying 6(3x + 5) = 4x + 100 Reorder the terms: 6(5 + 3x) = 4x + 100 (5 * 6 + 3x * 6) = 4x + 100 (30 + 18x) = 4x + 100 Reorder the terms: 30 + 18x = 100 + 4x Solving 30 + 18x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 18x + -4x = 100 + 4x + -4x Combine like terms: 18x + -4x = 14x 30 + 14x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 14x = 100 + 0 30 + 14x = 100 Add '-30' to each side of the equation. 30 + -30 + 14x = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 100 + -30 14x = 100 + -30 Combine like terms: 100 + -30 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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