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Simplifying 3(2x + 5) + -2 = 7x + 15 + -5x Reorder the terms: 3(5 + 2x) + -2 = 7x + 15 + -5x (5 * 3 + 2x * 3) + -2 = 7x + 15 + -5x (15 + 6x) + -2 = 7x + 15 + -5x Reorder the terms: 15 + -2 + 6x = 7x + 15 + -5x Combine like terms: 15 + -2 = 13 13 + 6x = 7x + 15 + -5x Reorder the terms: 13 + 6x = 15 + 7x + -5x Combine like terms: 7x + -5x = 2x 13 + 6x = 15 + 2x Solving 13 + 6x = 15 + 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. 13 + 6x + -2x = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x 13 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 4x = 15 + 0 13 + 4x = 15 Add '-13' to each side of the equation. 13 + -13 + 4x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 15 + -13 4x = 15 + -13 Combine like terms: 15 + -13 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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