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Simplifying -6x + -19(x + 2) = -3(8x + 4) Reorder the terms: -6x + -19(2 + x) = -3(8x + 4) -6x + (2 * -19 + x * -19) = -3(8x + 4) -6x + (-38 + -19x) = -3(8x + 4) Reorder the terms: -38 + -6x + -19x = -3(8x + 4) Combine like terms: -6x + -19x = -25x -38 + -25x = -3(8x + 4) Reorder the terms: -38 + -25x = -3(4 + 8x) -38 + -25x = (4 * -3 + 8x * -3) -38 + -25x = (-12 + -24x) Solving -38 + -25x = -12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -38 + -25x + 24x = -12 + -24x + 24x Combine like terms: -25x + 24x = -1x -38 + -1x = -12 + -24x + 24x Combine like terms: -24x + 24x = 0 -38 + -1x = -12 + 0 -38 + -1x = -12 Add '38' to each side of the equation. -38 + 38 + -1x = -12 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -12 + 38 -1x = -12 + 38 Combine like terms: -12 + 38 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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