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Simplifying (x + -2) * 5 = (2x + -6) * 3 Reorder the terms: (-2 + x) * 5 = (2x + -6) * 3 Reorder the terms for easier multiplication: 5(-2 + x) = (2x + -6) * 3 (-2 * 5 + x * 5) = (2x + -6) * 3 (-10 + 5x) = (2x + -6) * 3 Reorder the terms: -10 + 5x = (-6 + 2x) * 3 Reorder the terms for easier multiplication: -10 + 5x = 3(-6 + 2x) -10 + 5x = (-6 * 3 + 2x * 3) -10 + 5x = (-18 + 6x) Solving -10 + 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. -10 + 5x + -6x = -18 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = -18 + 0 -10 + -1x = -18 Add '10' to each side of the equation. -10 + 10 + -1x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -18 + 10 -1x = -18 + 10 Combine like terms: -18 + 10 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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