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Simplifying 5x + -6 = 3(2x + -6) Reorder the terms: -6 + 5x = 3(2x + -6) Reorder the terms: -6 + 5x = 3(-6 + 2x) -6 + 5x = (-6 * 3 + 2x * 3) -6 + 5x = (-18 + 6x) Solving -6 + 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. -6 + 5x + -6x = -18 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -18 + 0 -6 + -1x = -18 Add '6' to each side of the equation. -6 + 6 + -1x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -18 + 6 -1x = -18 + 6 Combine like terms: -18 + 6 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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