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Simplifying 6(-1 + -3x) = 4(x + 15) (-1 * 6 + -3x * 6) = 4(x + 15) (-6 + -18x) = 4(x + 15) Reorder the terms: -6 + -18x = 4(15 + x) -6 + -18x = (15 * 4 + x * 4) -6 + -18x = (60 + 4x) Solving -6 + -18x = 60 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -18x + -4x = 60 + 4x + -4x Combine like terms: -18x + -4x = -22x -6 + -22x = 60 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -22x = 60 + 0 -6 + -22x = 60 Add '6' to each side of the equation. -6 + 6 + -22x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + -22x = 60 + 6 -22x = 60 + 6 Combine like terms: 60 + 6 = 66 -22x = 66 Divide each side by '-22'. x = -3 Simplifying x = -3
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