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Simplifying 12 + 3(x + -4) + -2 = 7[5 + -4(4 + -1x)] Reorder the terms: 12 + 3(-4 + x) + -2 = 7[5 + -4(4 + -1x)] 12 + (-4 * 3 + x * 3) + -2 = 7[5 + -4(4 + -1x)] 12 + (-12 + 3x) + -2 = 7[5 + -4(4 + -1x)] Reorder the terms: 12 + -12 + -2 + 3x = 7[5 + -4(4 + -1x)] Combine like terms: 12 + -12 = 0 0 + -2 + 3x = 7[5 + -4(4 + -1x)] -2 + 3x = 7[5 + -4(4 + -1x)] -2 + 3x = 7[5 + (4 * -4 + -1x * -4)] -2 + 3x = 7[5 + (-16 + 4x)] Combine like terms: 5 + -16 = -11 -2 + 3x = 7[-11 + 4x] -2 + 3x = [-11 * 7 + 4x * 7] -2 + 3x = [-77 + 28x] Solving -2 + 3x = -77 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -2 + 3x + -28x = -77 + 28x + -28x Combine like terms: 3x + -28x = -25x -2 + -25x = -77 + 28x + -28x Combine like terms: 28x + -28x = 0 -2 + -25x = -77 + 0 -2 + -25x = -77 Add '2' to each side of the equation. -2 + 2 + -25x = -77 + 2 Combine like terms: -2 + 2 = 0 0 + -25x = -77 + 2 -25x = -77 + 2 Combine like terms: -77 + 2 = -75 -25x = -75 Divide each side by '-25'. x = 3 Simplifying x = 3
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