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Simplifying 3x + 6 + -2(-8x + -3) = 3(x + -2) Reorder the terms: 3x + 6 + -2(-3 + -8x) = 3(x + -2) 3x + 6 + (-3 * -2 + -8x * -2) = 3(x + -2) 3x + 6 + (6 + 16x) = 3(x + -2) Reorder the terms: 6 + 6 + 3x + 16x = 3(x + -2) Combine like terms: 6 + 6 = 12 12 + 3x + 16x = 3(x + -2) Combine like terms: 3x + 16x = 19x 12 + 19x = 3(x + -2) Reorder the terms: 12 + 19x = 3(-2 + x) 12 + 19x = (-2 * 3 + x * 3) 12 + 19x = (-6 + 3x) Solving 12 + 19x = -6 + 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. 12 + 19x + -3x = -6 + 3x + -3x Combine like terms: 19x + -3x = 16x 12 + 16x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 16x = -6 + 0 12 + 16x = -6 Add '-12' to each side of the equation. 12 + -12 + 16x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = -6 + -12 16x = -6 + -12 Combine like terms: -6 + -12 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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