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Simplifying 5(x + -1) = 6(x + -3) Reorder the terms: 5(-1 + x) = 6(x + -3) (-1 * 5 + x * 5) = 6(x + -3) (-5 + 5x) = 6(x + -3) Reorder the terms: -5 + 5x = 6(-3 + x) -5 + 5x = (-3 * 6 + x * 6) -5 + 5x = (-18 + 6x) Solving -5 + 5x = -18 + 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. -5 + 5x + -6x = -18 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -18 + 0 -5 + -1x = -18 Add '5' to each side of the equation. -5 + 5 + -1x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -18 + 5 -1x = -18 + 5 Combine like terms: -18 + 5 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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