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Simplifying -8(3x + 7) + -2(5x + -9) = -4 Reorder the terms: -8(7 + 3x) + -2(5x + -9) = -4 (7 * -8 + 3x * -8) + -2(5x + -9) = -4 (-56 + -24x) + -2(5x + -9) = -4 Reorder the terms: -56 + -24x + -2(-9 + 5x) = -4 -56 + -24x + (-9 * -2 + 5x * -2) = -4 -56 + -24x + (18 + -10x) = -4 Reorder the terms: -56 + 18 + -24x + -10x = -4 Combine like terms: -56 + 18 = -38 -38 + -24x + -10x = -4 Combine like terms: -24x + -10x = -34x -38 + -34x = -4 Solving -38 + -34x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -34x = -4 + 38 Combine like terms: -38 + 38 = 0 0 + -34x = -4 + 38 -34x = -4 + 38 Combine like terms: -4 + 38 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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