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Simplifying 7x * 2 + 8 = 3x * 2 + 24 Reorder the terms for easier multiplication: 7 * 2x + 8 = 3x * 2 + 24 Multiply 7 * 2 14x + 8 = 3x * 2 + 24 Reorder the terms: 8 + 14x = 3x * 2 + 24 Reorder the terms for easier multiplication: 8 + 14x = 3 * 2x + 24 Multiply 3 * 2 8 + 14x = 6x + 24 Reorder the terms: 8 + 14x = 24 + 6x Solving 8 + 14x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 14x + -6x = 24 + 6x + -6x Combine like terms: 14x + -6x = 8x 8 + 8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 8x = 24 + 0 8 + 8x = 24 Add '-8' to each side of the equation. 8 + -8 + 8x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 24 + -8 8x = 24 + -8 Combine like terms: 24 + -8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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