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Simplifying -8x + -6(-2x + -2) = 3x + 19 Reorder the terms: -8x + -6(-2 + -2x) = 3x + 19 -8x + (-2 * -6 + -2x * -6) = 3x + 19 -8x + (12 + 12x) = 3x + 19 Reorder the terms: 12 + -8x + 12x = 3x + 19 Combine like terms: -8x + 12x = 4x 12 + 4x = 3x + 19 Reorder the terms: 12 + 4x = 19 + 3x Solving 12 + 4x = 19 + 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 + 4x + -3x = 19 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 19 + 0 12 + 1x = 19 Add '-12' to each side of the equation. 12 + -12 + 1x = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 19 + -12 1x = 19 + -12 Combine like terms: 19 + -12 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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