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Simplifying 4[x + -1(3 + -1x)] + -7x = 7 4[x + (3 * -1 + -1x * -1)] + -7x = 7 4[x + (-3 + 1x)] + -7x = 7 Reorder the terms: 4[-3 + x + 1x] + -7x = 7 Combine like terms: x + 1x = 2x 4[-3 + 2x] + -7x = 7 [-3 * 4 + 2x * 4] + -7x = 7 [-12 + 8x] + -7x = 7 Combine like terms: 8x + -7x = 1x -12 + 1x = 7 Solving -12 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 7 + 12 1x = 7 + 12 Combine like terms: 7 + 12 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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