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Simplifying -30(x + 13) = 80(-23 + -4x) Reorder the terms: -30(13 + x) = 80(-23 + -4x) (13 * -30 + x * -30) = 80(-23 + -4x) (-390 + -30x) = 80(-23 + -4x) -390 + -30x = (-23 * 80 + -4x * 80) -390 + -30x = (-1840 + -320x) Solving -390 + -30x = -1840 + -320x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '320x' to each side of the equation. -390 + -30x + 320x = -1840 + -320x + 320x Combine like terms: -30x + 320x = 290x -390 + 290x = -1840 + -320x + 320x Combine like terms: -320x + 320x = 0 -390 + 290x = -1840 + 0 -390 + 290x = -1840 Add '390' to each side of the equation. -390 + 390 + 290x = -1840 + 390 Combine like terms: -390 + 390 = 0 0 + 290x = -1840 + 390 290x = -1840 + 390 Combine like terms: -1840 + 390 = -1450 290x = -1450 Divide each side by '290'. x = -5 Simplifying x = -5
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