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Simplifying (4x + -6) * 3 = 5(2x + -10) Reorder the terms: (-6 + 4x) * 3 = 5(2x + -10) Reorder the terms for easier multiplication: 3(-6 + 4x) = 5(2x + -10) (-6 * 3 + 4x * 3) = 5(2x + -10) (-18 + 12x) = 5(2x + -10) Reorder the terms: -18 + 12x = 5(-10 + 2x) -18 + 12x = (-10 * 5 + 2x * 5) -18 + 12x = (-50 + 10x) Solving -18 + 12x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 12x + -10x = -50 + 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = -50 + 0 -18 + 2x = -50 Add '18' to each side of the equation. -18 + 18 + 2x = -50 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -50 + 18 2x = -50 + 18 Combine like terms: -50 + 18 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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