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Simplifying 3 + 4(3x + -4) = 5 + -5(2x + 1) Reorder the terms: 3 + 4(-4 + 3x) = 5 + -5(2x + 1) 3 + (-4 * 4 + 3x * 4) = 5 + -5(2x + 1) 3 + (-16 + 12x) = 5 + -5(2x + 1) Combine like terms: 3 + -16 = -13 -13 + 12x = 5 + -5(2x + 1) Reorder the terms: -13 + 12x = 5 + -5(1 + 2x) -13 + 12x = 5 + (1 * -5 + 2x * -5) -13 + 12x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -13 + 12x = 0 + -10x -13 + 12x = -10x Solving -13 + 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. -13 + 12x + 10x = -10x + 10x Combine like terms: 12x + 10x = 22x -13 + 22x = -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 22x = 0 Add '13' to each side of the equation. -13 + 13 + 22x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 22x = 0 + 13 22x = 0 + 13 Combine like terms: 0 + 13 = 13 22x = 13 Divide each side by '22'. x = 0.5909090909 Simplifying x = 0.5909090909
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