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Simplifying 2 + -2 + -3(4 + -1x) = 5(2 + -1x) + 4x 2 + -2 + (4 * -3 + -1x * -3) = 5(2 + -1x) + 4x 2 + -2 + (-12 + 3x) = 5(2 + -1x) + 4x Combine like terms: 2 + -2 = 0 0 + -12 + 3x = 5(2 + -1x) + 4x -12 + 3x = 5(2 + -1x) + 4x -12 + 3x = (2 * 5 + -1x * 5) + 4x -12 + 3x = (10 + -5x) + 4x Combine like terms: -5x + 4x = -1x -12 + 3x = 10 + -1x Solving -12 + 3x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 3x + x = 10 + -1x + x Combine like terms: 3x + x = 4x -12 + 4x = 10 + -1x + x Combine like terms: -1x + x = 0 -12 + 4x = 10 + 0 -12 + 4x = 10 Add '12' to each side of the equation. -12 + 12 + 4x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 10 + 12 4x = 10 + 12 Combine like terms: 10 + 12 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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