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Simplifying 3(x + 5) + -4 = 2(4x + 5) Reorder the terms: 3(5 + x) + -4 = 2(4x + 5) (5 * 3 + x * 3) + -4 = 2(4x + 5) (15 + 3x) + -4 = 2(4x + 5) Reorder the terms: 15 + -4 + 3x = 2(4x + 5) Combine like terms: 15 + -4 = 11 11 + 3x = 2(4x + 5) Reorder the terms: 11 + 3x = 2(5 + 4x) 11 + 3x = (5 * 2 + 4x * 2) 11 + 3x = (10 + 8x) Solving 11 + 3x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 3x + -8x = 10 + 8x + -8x Combine like terms: 3x + -8x = -5x 11 + -5x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -5x = 10 + 0 11 + -5x = 10 Add '-11' to each side of the equation. 11 + -11 + -5x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 10 + -11 -5x = 10 + -11 Combine like terms: 10 + -11 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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