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Simplifying 5 + 3(4x + -4) = 8 + -5(2x + 1) Reorder the terms: 5 + 3(-4 + 4x) = 8 + -5(2x + 1) 5 + (-4 * 3 + 4x * 3) = 8 + -5(2x + 1) 5 + (-12 + 12x) = 8 + -5(2x + 1) Combine like terms: 5 + -12 = -7 -7 + 12x = 8 + -5(2x + 1) Reorder the terms: -7 + 12x = 8 + -5(1 + 2x) -7 + 12x = 8 + (1 * -5 + 2x * -5) -7 + 12x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -7 + 12x = 3 + -10x Solving -7 + 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. -7 + 12x + 10x = 3 + -10x + 10x Combine like terms: 12x + 10x = 22x -7 + 22x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 22x = 3 + 0 -7 + 22x = 3 Add '7' to each side of the equation. -7 + 7 + 22x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 22x = 3 + 7 22x = 3 + 7 Combine like terms: 3 + 7 = 10 22x = 10 Divide each side by '22'. x = 0.4545454545 Simplifying x = 0.4545454545
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