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Simplifying 3(x + -8) = 7(x + 1) + -11 Reorder the terms: 3(-8 + x) = 7(x + 1) + -11 (-8 * 3 + x * 3) = 7(x + 1) + -11 (-24 + 3x) = 7(x + 1) + -11 Reorder the terms: -24 + 3x = 7(1 + x) + -11 -24 + 3x = (1 * 7 + x * 7) + -11 -24 + 3x = (7 + 7x) + -11 Reorder the terms: -24 + 3x = 7 + -11 + 7x Combine like terms: 7 + -11 = -4 -24 + 3x = -4 + 7x Solving -24 + 3x = -4 + 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. -24 + 3x + -7x = -4 + 7x + -7x Combine like terms: 3x + -7x = -4x -24 + -4x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -4x = -4 + 0 -24 + -4x = -4 Add '24' to each side of the equation. -24 + 24 + -4x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -4 + 24 -4x = -4 + 24 Combine like terms: -4 + 24 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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