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Simplifying 3(x + -4) + -6(2x + -3) = 27 + -2x Reorder the terms: 3(-4 + x) + -6(2x + -3) = 27 + -2x (-4 * 3 + x * 3) + -6(2x + -3) = 27 + -2x (-12 + 3x) + -6(2x + -3) = 27 + -2x Reorder the terms: -12 + 3x + -6(-3 + 2x) = 27 + -2x -12 + 3x + (-3 * -6 + 2x * -6) = 27 + -2x -12 + 3x + (18 + -12x) = 27 + -2x Reorder the terms: -12 + 18 + 3x + -12x = 27 + -2x Combine like terms: -12 + 18 = 6 6 + 3x + -12x = 27 + -2x Combine like terms: 3x + -12x = -9x 6 + -9x = 27 + -2x Solving 6 + -9x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -9x + 2x = 27 + -2x + 2x Combine like terms: -9x + 2x = -7x 6 + -7x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -7x = 27 + 0 6 + -7x = 27 Add '-6' to each side of the equation. 6 + -6 + -7x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 27 + -6 -7x = 27 + -6 Combine like terms: 27 + -6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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