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Simplifying 7 + 3(4x + -4) = 5 + -5(2x + 1) Reorder the terms: 7 + 3(-4 + 4x) = 5 + -5(2x + 1) 7 + (-4 * 3 + 4x * 3) = 5 + -5(2x + 1) 7 + (-12 + 12x) = 5 + -5(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 12x = 5 + -5(2x + 1) Reorder the terms: -5 + 12x = 5 + -5(1 + 2x) -5 + 12x = 5 + (1 * -5 + 2x * -5) -5 + 12x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -5 + 12x = 0 + -10x -5 + 12x = -10x Solving -5 + 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. -5 + 12x + 10x = -10x + 10x Combine like terms: 12x + 10x = 22x -5 + 22x = -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 22x = 0 Add '5' to each side of the equation. -5 + 5 + 22x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 22x = 0 + 5 22x = 0 + 5 Combine like terms: 0 + 5 = 5 22x = 5 Divide each side by '22'. x = 0.2272727273 Simplifying x = 0.2272727273
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