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Simplifying 2[3 + -1(-2x + -3)] = 8x + 18 Reorder the terms: 2[3 + -1(-3 + -2x)] = 8x + 18 2[3 + (-3 * -1 + -2x * -1)] = 8x + 18 2[3 + (3 + 2x)] = 8x + 18 Combine like terms: 3 + 3 = 6 2[6 + 2x] = 8x + 18 [6 * 2 + 2x * 2] = 8x + 18 [12 + 4x] = 8x + 18 Reorder the terms: 12 + 4x = 18 + 8x Solving 12 + 4x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = 18 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = 18 + 0 12 + -4x = 18 Add '-12' to each side of the equation. 12 + -12 + -4x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 18 + -12 -4x = 18 + -12 Combine like terms: 18 + -12 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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