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Simplifying 7 + 4(3x + -4) = 5 + -5(2x + 1) Reorder the terms: 7 + 4(-4 + 3x) = 5 + -5(2x + 1) 7 + (-4 * 4 + 3x * 4) = 5 + -5(2x + 1) 7 + (-16 + 12x) = 5 + -5(2x + 1) Combine like terms: 7 + -16 = -9 -9 + 12x = 5 + -5(2x + 1) Reorder the terms: -9 + 12x = 5 + -5(1 + 2x) -9 + 12x = 5 + (1 * -5 + 2x * -5) -9 + 12x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -9 + 12x = 0 + -10x -9 + 12x = -10x Solving -9 + 12x = -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. -9 + 12x + 10x = -10x + 10x Combine like terms: 12x + 10x = 22x -9 + 22x = -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 22x = 0 Add '9' to each side of the equation. -9 + 9 + 22x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 22x = 0 + 9 22x = 0 + 9 Combine like terms: 0 + 9 = 9 22x = 9 Divide each side by '22'. x = 0.4090909091 Simplifying x = 0.4090909091
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