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Simplifying 7x + -1[4x + -3(x + -1)] = x + 12 Reorder the terms: 7x + -1[4x + -3(-1 + x)] = x + 12 7x + -1[4x + (-1 * -3 + x * -3)] = x + 12 7x + -1[4x + (3 + -3x)] = x + 12 Reorder the terms: 7x + -1[3 + 4x + -3x] = x + 12 Combine like terms: 4x + -3x = 1x 7x + -1[3 + 1x] = x + 12 7x + [3 * -1 + 1x * -1] = x + 12 7x + [-3 + -1x] = x + 12 Reorder the terms: -3 + 7x + -1x = x + 12 Combine like terms: 7x + -1x = 6x -3 + 6x = x + 12 Reorder the terms: -3 + 6x = 12 + x Solving -3 + 6x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 6x + -1x = 12 + x + -1x Combine like terms: 6x + -1x = 5x -3 + 5x = 12 + x + -1x Combine like terms: x + -1x = 0 -3 + 5x = 12 + 0 -3 + 5x = 12 Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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