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Simplifying -3x + -6(2 + -2x) = 6(x + -2) * 18 -3x + (2 * -6 + -2x * -6) = 6(x + -2) * 18 -3x + (-12 + 12x) = 6(x + -2) * 18 Reorder the terms: -12 + -3x + 12x = 6(x + -2) * 18 Combine like terms: -3x + 12x = 9x -12 + 9x = 6(x + -2) * 18 Reorder the terms: -12 + 9x = 6(-2 + x) * 18 Reorder the terms for easier multiplication: -12 + 9x = 6 * 18(-2 + x) Multiply 6 * 18 -12 + 9x = 108(-2 + x) -12 + 9x = (-2 * 108 + x * 108) -12 + 9x = (-216 + 108x) Solving -12 + 9x = -216 + 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. -12 + 9x + -108x = -216 + 108x + -108x Combine like terms: 9x + -108x = -99x -12 + -99x = -216 + 108x + -108x Combine like terms: 108x + -108x = 0 -12 + -99x = -216 + 0 -12 + -99x = -216 Add '12' to each side of the equation. -12 + 12 + -99x = -216 + 12 Combine like terms: -12 + 12 = 0 0 + -99x = -216 + 12 -99x = -216 + 12 Combine like terms: -216 + 12 = -204 -99x = -204 Divide each side by '-99'. x = 2.060606061 Simplifying x = 2.060606061
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