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Simplifying 6(5x + -5) = -6(3x + -3) Reorder the terms: 6(-5 + 5x) = -6(3x + -3) (-5 * 6 + 5x * 6) = -6(3x + -3) (-30 + 30x) = -6(3x + -3) Reorder the terms: -30 + 30x = -6(-3 + 3x) -30 + 30x = (-3 * -6 + 3x * -6) -30 + 30x = (18 + -18x) Solving -30 + 30x = 18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -30 + 30x + 18x = 18 + -18x + 18x Combine like terms: 30x + 18x = 48x -30 + 48x = 18 + -18x + 18x Combine like terms: -18x + 18x = 0 -30 + 48x = 18 + 0 -30 + 48x = 18 Add '30' to each side of the equation. -30 + 30 + 48x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 48x = 18 + 30 48x = 18 + 30 Combine like terms: 18 + 30 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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