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Simplifying 4 + 4(x + -1) = 28 + -1(x + -7x + 1) Reorder the terms: 4 + 4(-1 + x) = 28 + -1(x + -7x + 1) 4 + (-1 * 4 + x * 4) = 28 + -1(x + -7x + 1) 4 + (-4 + 4x) = 28 + -1(x + -7x + 1) Combine like terms: 4 + -4 = 0 0 + 4x = 28 + -1(x + -7x + 1) 4x = 28 + -1(x + -7x + 1) Reorder the terms: 4x = 28 + -1(1 + x + -7x) Combine like terms: x + -7x = -6x 4x = 28 + -1(1 + -6x) 4x = 28 + (1 * -1 + -6x * -1) 4x = 28 + (-1 + 6x) Combine like terms: 28 + -1 = 27 4x = 27 + 6x Solving 4x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4x + -6x = 27 + 6x + -6x Combine like terms: 4x + -6x = -2x -2x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -2x = 27 + 0 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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