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Simplifying 3 + 3(4x + -4) = 8 + -5(2x + 1) Reorder the terms: 3 + 3(-4 + 4x) = 8 + -5(2x + 1) 3 + (-4 * 3 + 4x * 3) = 8 + -5(2x + 1) 3 + (-12 + 12x) = 8 + -5(2x + 1) Combine like terms: 3 + -12 = -9 -9 + 12x = 8 + -5(2x + 1) Reorder the terms: -9 + 12x = 8 + -5(1 + 2x) -9 + 12x = 8 + (1 * -5 + 2x * -5) -9 + 12x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -9 + 12x = 3 + -10x Solving -9 + 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. -9 + 12x + 10x = 3 + -10x + 10x Combine like terms: 12x + 10x = 22x -9 + 22x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 22x = 3 + 0 -9 + 22x = 3 Add '9' to each side of the equation. -9 + 9 + 22x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 22x = 3 + 9 22x = 3 + 9 Combine like terms: 3 + 9 = 12 22x = 12 Divide each side by '22'. x = 0.5454545455 Simplifying x = 0.5454545455
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