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