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Simplifying 3x + 8(x + -6) = 3(x + -8) Reorder the terms: 3x + 8(-6 + x) = 3(x + -8) 3x + (-6 * 8 + x * 8) = 3(x + -8) 3x + (-48 + 8x) = 3(x + -8) Reorder the terms: -48 + 3x + 8x = 3(x + -8) Combine like terms: 3x + 8x = 11x -48 + 11x = 3(x + -8) Reorder the terms: -48 + 11x = 3(-8 + x) -48 + 11x = (-8 * 3 + x * 3) -48 + 11x = (-24 + 3x) Solving -48 + 11x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -48 + 11x + -3x = -24 + 3x + -3x Combine like terms: 11x + -3x = 8x -48 + 8x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 8x = -24 + 0 -48 + 8x = -24 Add '48' to each side of the equation. -48 + 48 + 8x = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = -24 + 48 8x = -24 + 48 Combine like terms: -24 + 48 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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