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Simplifying 5(x + 2) * 3 = 3x + -8x + 7 Reorder the terms: 5(2 + x) * 3 = 3x + -8x + 7 Reorder the terms for easier multiplication: 5 * 3(2 + x) = 3x + -8x + 7 Multiply 5 * 3 15(2 + x) = 3x + -8x + 7 (2 * 15 + x * 15) = 3x + -8x + 7 (30 + 15x) = 3x + -8x + 7 Reorder the terms: 30 + 15x = 7 + 3x + -8x Combine like terms: 3x + -8x = -5x 30 + 15x = 7 + -5x Solving 30 + 15x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + 15x + 5x = 7 + -5x + 5x Combine like terms: 15x + 5x = 20x 30 + 20x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 20x = 7 + 0 30 + 20x = 7 Add '-30' to each side of the equation. 30 + -30 + 20x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 7 + -30 20x = 7 + -30 Combine like terms: 7 + -30 = -23 20x = -23 Divide each side by '20'. x = -1.15 Simplifying x = -1.15
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