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Simplifying 5x + -1(x + -1) = 7(x + 4) Reorder the terms: 5x + -1(-1 + x) = 7(x + 4) 5x + (-1 * -1 + x * -1) = 7(x + 4) 5x + (1 + -1x) = 7(x + 4) Reorder the terms: 1 + 5x + -1x = 7(x + 4) Combine like terms: 5x + -1x = 4x 1 + 4x = 7(x + 4) Reorder the terms: 1 + 4x = 7(4 + x) 1 + 4x = (4 * 7 + x * 7) 1 + 4x = (28 + 7x) Solving 1 + 4x = 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. 1 + 4x + -7x = 28 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = 28 + 0 1 + -3x = 28 Add '-1' to each side of the equation. 1 + -1 + -3x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 28 + -1 -3x = 28 + -1 Combine like terms: 28 + -1 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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