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Simplifying 6[2(-2x + -3)] = 2(-3 + -3x) Reorder the terms: 6[2(-3 + -2x)] = 2(-3 + -3x) 6[(-3 * 2 + -2x * 2)] = 2(-3 + -3x) 6[(-6 + -4x)] = 2(-3 + -3x) [-6 * 6 + -4x * 6] = 2(-3 + -3x) [-36 + -24x] = 2(-3 + -3x) -36 + -24x = (-3 * 2 + -3x * 2) -36 + -24x = (-6 + -6x) Solving -36 + -24x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + -24x + 6x = -6 + -6x + 6x Combine like terms: -24x + 6x = -18x -36 + -18x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + -18x = -6 + 0 -36 + -18x = -6 Add '36' to each side of the equation. -36 + 36 + -18x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -18x = -6 + 36 -18x = -6 + 36 Combine like terms: -6 + 36 = 30 -18x = 30 Divide each side by '-18'. x = -1.666666667 Simplifying x = -1.666666667
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