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Simplifying -6(1 + 3x) = -6(-1x + 5) (1 * -6 + 3x * -6) = -6(-1x + 5) (-6 + -18x) = -6(-1x + 5) Reorder the terms: -6 + -18x = -6(5 + -1x) -6 + -18x = (5 * -6 + -1x * -6) -6 + -18x = (-30 + 6x) Solving -6 + -18x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -18x + -6x = -30 + 6x + -6x Combine like terms: -18x + -6x = -24x -6 + -24x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -24x = -30 + 0 -6 + -24x = -30 Add '6' to each side of the equation. -6 + 6 + -24x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -24x = -30 + 6 -24x = -30 + 6 Combine like terms: -30 + 6 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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