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Simplifying 3x + 6(x + -8) = 3(x + -12) Reorder the terms: 3x + 6(-8 + x) = 3(x + -12) 3x + (-8 * 6 + x * 6) = 3(x + -12) 3x + (-48 + 6x) = 3(x + -12) Reorder the terms: -48 + 3x + 6x = 3(x + -12) Combine like terms: 3x + 6x = 9x -48 + 9x = 3(x + -12) Reorder the terms: -48 + 9x = 3(-12 + x) -48 + 9x = (-12 * 3 + x * 3) -48 + 9x = (-36 + 3x) Solving -48 + 9x = -36 + 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 + 9x + -3x = -36 + 3x + -3x Combine like terms: 9x + -3x = 6x -48 + 6x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 6x = -36 + 0 -48 + 6x = -36 Add '48' to each side of the equation. -48 + 48 + 6x = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -36 + 48 6x = -36 + 48 Combine like terms: -36 + 48 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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