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Simplifying 7(x + -5) + 8 = 4(x + -6) Reorder the terms: 7(-5 + x) + 8 = 4(x + -6) (-5 * 7 + x * 7) + 8 = 4(x + -6) (-35 + 7x) + 8 = 4(x + -6) Reorder the terms: -35 + 8 + 7x = 4(x + -6) Combine like terms: -35 + 8 = -27 -27 + 7x = 4(x + -6) Reorder the terms: -27 + 7x = 4(-6 + x) -27 + 7x = (-6 * 4 + x * 4) -27 + 7x = (-24 + 4x) Solving -27 + 7x = -24 + 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. -27 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -27 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 3x = -24 + 0 -27 + 3x = -24 Add '27' to each side of the equation. -27 + 27 + 3x = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -24 + 27 3x = -24 + 27 Combine like terms: -24 + 27 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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