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Simplifying 4x + 6 * 5 = 2x + 9 * 6 Multiply 6 * 5 4x + 30 = 2x + 9 * 6 Reorder the terms: 30 + 4x = 2x + 9 * 6 Multiply 9 * 6 30 + 4x = 2x + 54 Reorder the terms: 30 + 4x = 54 + 2x Solving 30 + 4x = 54 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 4x + -2x = 54 + 2x + -2x Combine like terms: 4x + -2x = 2x 30 + 2x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 2x = 54 + 0 30 + 2x = 54 Add '-30' to each side of the equation. 30 + -30 + 2x = 54 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 54 + -30 2x = 54 + -30 Combine like terms: 54 + -30 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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