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Simplifying 4(5x + -2) = 2(9x + -3) Reorder the terms: 4(-2 + 5x) = 2(9x + -3) (-2 * 4 + 5x * 4) = 2(9x + -3) (-8 + 20x) = 2(9x + -3) Reorder the terms: -8 + 20x = 2(-3 + 9x) -8 + 20x = (-3 * 2 + 9x * 2) -8 + 20x = (-6 + 18x) Solving -8 + 20x = -6 + 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. -8 + 20x + -18x = -6 + 18x + -18x Combine like terms: 20x + -18x = 2x -8 + 2x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + 2x = -6 + 0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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