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Simplifying 5(4x + -2) = 6(3x + -2) Reorder the terms: 5(-2 + 4x) = 6(3x + -2) (-2 * 5 + 4x * 5) = 6(3x + -2) (-10 + 20x) = 6(3x + -2) Reorder the terms: -10 + 20x = 6(-2 + 3x) -10 + 20x = (-2 * 6 + 3x * 6) -10 + 20x = (-12 + 18x) Solving -10 + 20x = -12 + 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. -10 + 20x + -18x = -12 + 18x + -18x Combine like terms: 20x + -18x = 2x -10 + 2x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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