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Simplifying 4(x + -7) = 5 + (x + -7) Reorder the terms: 4(-7 + x) = 5 + (x + -7) (-7 * 4 + x * 4) = 5 + (x + -7) (-28 + 4x) = 5 + (x + -7) Reorder the terms: -28 + 4x = 5 + (-7 + x) Remove parenthesis around (-7 + x) -28 + 4x = 5 + -7 + x Combine like terms: 5 + -7 = -2 -28 + 4x = -2 + x Solving -28 + 4x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -28 + 4x + -1x = -2 + x + -1x Combine like terms: 4x + -1x = 3x -28 + 3x = -2 + x + -1x Combine like terms: x + -1x = 0 -28 + 3x = -2 + 0 -28 + 3x = -2 Add '28' to each side of the equation. -28 + 28 + 3x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -2 + 28 3x = -2 + 28 Combine like terms: -2 + 28 = 26 3x = 26 Divide each side by '3'. x = 8.666666667 Simplifying x = 8.666666667
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