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Simplifying 3x * 2 + -7 = 2x * 2 + 9 Reorder the terms for easier multiplication: 3 * 2x + -7 = 2x * 2 + 9 Multiply 3 * 2 6x + -7 = 2x * 2 + 9 Reorder the terms: -7 + 6x = 2x * 2 + 9 Reorder the terms for easier multiplication: -7 + 6x = 2 * 2x + 9 Multiply 2 * 2 -7 + 6x = 4x + 9 Reorder the terms: -7 + 6x = 9 + 4x Solving -7 + 6x = 9 + 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. -7 + 6x + -4x = 9 + 4x + -4x Combine like terms: 6x + -4x = 2x -7 + 2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 2x = 9 + 0 -7 + 2x = 9 Add '7' to each side of the equation. -7 + 7 + 2x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 9 + 7 2x = 9 + 7 Combine like terms: 9 + 7 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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