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Simplifying 2(4x + 5) + -5x = 4 + -3(x + -5) Reorder the terms: 2(5 + 4x) + -5x = 4 + -3(x + -5) (5 * 2 + 4x * 2) + -5x = 4 + -3(x + -5) (10 + 8x) + -5x = 4 + -3(x + -5) Combine like terms: 8x + -5x = 3x 10 + 3x = 4 + -3(x + -5) Reorder the terms: 10 + 3x = 4 + -3(-5 + x) 10 + 3x = 4 + (-5 * -3 + x * -3) 10 + 3x = 4 + (15 + -3x) Combine like terms: 4 + 15 = 19 10 + 3x = 19 + -3x Solving 10 + 3x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 3x + 3x = 19 + -3x + 3x Combine like terms: 3x + 3x = 6x 10 + 6x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 6x = 19 + 0 10 + 6x = 19 Add '-10' to each side of the equation. 10 + -10 + 6x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 19 + -10 6x = 19 + -10 Combine like terms: 19 + -10 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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