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Simplifying 7(x + -8) + 24 = 4(x + -5) Reorder the terms: 7(-8 + x) + 24 = 4(x + -5) (-8 * 7 + x * 7) + 24 = 4(x + -5) (-56 + 7x) + 24 = 4(x + -5) Reorder the terms: -56 + 24 + 7x = 4(x + -5) Combine like terms: -56 + 24 = -32 -32 + 7x = 4(x + -5) Reorder the terms: -32 + 7x = 4(-5 + x) -32 + 7x = (-5 * 4 + x * 4) -32 + 7x = (-20 + 4x) Solving -32 + 7x = -20 + 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. -32 + 7x + -4x = -20 + 4x + -4x Combine like terms: 7x + -4x = 3x -32 + 3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 3x = -20 + 0 -32 + 3x = -20 Add '32' to each side of the equation. -32 + 32 + 3x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -20 + 32 3x = -20 + 32 Combine like terms: -20 + 32 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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