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Simplifying 3x + -4(x + -1) = 7(4 + -1x) Reorder the terms: 3x + -4(-1 + x) = 7(4 + -1x) 3x + (-1 * -4 + x * -4) = 7(4 + -1x) 3x + (4 + -4x) = 7(4 + -1x) Reorder the terms: 4 + 3x + -4x = 7(4 + -1x) Combine like terms: 3x + -4x = -1x 4 + -1x = 7(4 + -1x) 4 + -1x = (4 * 7 + -1x * 7) 4 + -1x = (28 + -7x) Solving 4 + -1x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -1x + 7x = 28 + -7x + 7x Combine like terms: -1x + 7x = 6x 4 + 6x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 6x = 28 + 0 4 + 6x = 28 Add '-4' to each side of the equation. 4 + -4 + 6x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 28 + -4 6x = 28 + -4 Combine like terms: 28 + -4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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