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Simplifying 3(2x + -6) = 3(3x + -10) Reorder the terms: 3(-6 + 2x) = 3(3x + -10) (-6 * 3 + 2x * 3) = 3(3x + -10) (-18 + 6x) = 3(3x + -10) Reorder the terms: -18 + 6x = 3(-10 + 3x) -18 + 6x = (-10 * 3 + 3x * 3) -18 + 6x = (-30 + 9x) Solving -18 + 6x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 6x + -9x = -30 + 9x + -9x Combine like terms: 6x + -9x = -3x -18 + -3x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -3x = -30 + 0 -18 + -3x = -30 Add '18' to each side of the equation. -18 + 18 + -3x = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -30 + 18 -3x = -30 + 18 Combine like terms: -30 + 18 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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