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Simplifying 4x + 6(x + -8) = 4(x + -6) Reorder the terms: 4x + 6(-8 + x) = 4(x + -6) 4x + (-8 * 6 + x * 6) = 4(x + -6) 4x + (-48 + 6x) = 4(x + -6) Reorder the terms: -48 + 4x + 6x = 4(x + -6) Combine like terms: 4x + 6x = 10x -48 + 10x = 4(x + -6) Reorder the terms: -48 + 10x = 4(-6 + x) -48 + 10x = (-6 * 4 + x * 4) -48 + 10x = (-24 + 4x) Solving -48 + 10x = -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. -48 + 10x + -4x = -24 + 4x + -4x Combine like terms: 10x + -4x = 6x -48 + 6x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + 6x = -24 + 0 -48 + 6x = -24 Add '48' to each side of the equation. -48 + 48 + 6x = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -24 + 48 6x = -24 + 48 Combine like terms: -24 + 48 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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