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Simplifying 5x + -1(4x + 7) = 4x + -28 Reorder the terms: 5x + -1(7 + 4x) = 4x + -28 5x + (7 * -1 + 4x * -1) = 4x + -28 5x + (-7 + -4x) = 4x + -28 Reorder the terms: -7 + 5x + -4x = 4x + -28 Combine like terms: 5x + -4x = 1x -7 + 1x = 4x + -28 Reorder the terms: -7 + 1x = -28 + 4x Solving -7 + 1x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 1x + -4x = -28 + 4x + -4x Combine like terms: 1x + -4x = -3x -7 + -3x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -3x = -28 + 0 -7 + -3x = -28 Add '7' to each side of the equation. -7 + 7 + -3x = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -28 + 7 -3x = -28 + 7 Combine like terms: -28 + 7 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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