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Simplifying 5 + 4(3x + -5) = 8 + -5(2x + 1) Reorder the terms: 5 + 4(-5 + 3x) = 8 + -5(2x + 1) 5 + (-5 * 4 + 3x * 4) = 8 + -5(2x + 1) 5 + (-20 + 12x) = 8 + -5(2x + 1) Combine like terms: 5 + -20 = -15 -15 + 12x = 8 + -5(2x + 1) Reorder the terms: -15 + 12x = 8 + -5(1 + 2x) -15 + 12x = 8 + (1 * -5 + 2x * -5) -15 + 12x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -15 + 12x = 3 + -10x Solving -15 + 12x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + 12x + 10x = 3 + -10x + 10x Combine like terms: 12x + 10x = 22x -15 + 22x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 22x = 3 + 0 -15 + 22x = 3 Add '15' to each side of the equation. -15 + 15 + 22x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 3 + 15 22x = 3 + 15 Combine like terms: 3 + 15 = 18 22x = 18 Divide each side by '22'. x = 0.8181818182 Simplifying x = 0.8181818182
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