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Simplifying 5x * 3 + 5 = 2 * 3x + 32 Reorder the terms for easier multiplication: 5 * 3x + 5 = 2 * 3x + 32 Multiply 5 * 3 15x + 5 = 2 * 3x + 32 Reorder the terms: 5 + 15x = 2 * 3x + 32 Multiply 2 * 3 5 + 15x = 6x + 32 Reorder the terms: 5 + 15x = 32 + 6x Solving 5 + 15x = 32 + 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. 5 + 15x + -6x = 32 + 6x + -6x Combine like terms: 15x + -6x = 9x 5 + 9x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 9x = 32 + 0 5 + 9x = 32 Add '-5' to each side of the equation. 5 + -5 + 9x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 32 + -5 9x = 32 + -5 Combine like terms: 32 + -5 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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