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Simplifying 3(2x + 5) + 4x = 3x + 5 + -8x Reorder the terms: 3(5 + 2x) + 4x = 3x + 5 + -8x (5 * 3 + 2x * 3) + 4x = 3x + 5 + -8x (15 + 6x) + 4x = 3x + 5 + -8x Combine like terms: 6x + 4x = 10x 15 + 10x = 3x + 5 + -8x Reorder the terms: 15 + 10x = 5 + 3x + -8x Combine like terms: 3x + -8x = -5x 15 + 10x = 5 + -5x Solving 15 + 10x = 5 + -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. 15 + 10x + 5x = 5 + -5x + 5x Combine like terms: 10x + 5x = 15x 15 + 15x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 15x = 5 + 0 15 + 15x = 5 Add '-15' to each side of the equation. 15 + -15 + 15x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 5 + -15 15x = 5 + -15 Combine like terms: 5 + -15 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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