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Simplifying 4 + 4(3x + -5) = 7 + -5(2x + 1) Reorder the terms: 4 + 4(-5 + 3x) = 7 + -5(2x + 1) 4 + (-5 * 4 + 3x * 4) = 7 + -5(2x + 1) 4 + (-20 + 12x) = 7 + -5(2x + 1) Combine like terms: 4 + -20 = -16 -16 + 12x = 7 + -5(2x + 1) Reorder the terms: -16 + 12x = 7 + -5(1 + 2x) -16 + 12x = 7 + (1 * -5 + 2x * -5) -16 + 12x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -16 + 12x = 2 + -10x Solving -16 + 12x = 2 + -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. -16 + 12x + 10x = 2 + -10x + 10x Combine like terms: 12x + 10x = 22x -16 + 22x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 22x = 2 + 0 -16 + 22x = 2 Add '16' to each side of the equation. -16 + 16 + 22x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 22x = 2 + 16 22x = 2 + 16 Combine like terms: 2 + 16 = 18 22x = 18 Divide each side by '22'. x = 0.8181818182 Simplifying x = 0.8181818182
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