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Simplifying 5(4x + -10) = 2(x + 3) Reorder the terms: 5(-10 + 4x) = 2(x + 3) (-10 * 5 + 4x * 5) = 2(x + 3) (-50 + 20x) = 2(x + 3) Reorder the terms: -50 + 20x = 2(3 + x) -50 + 20x = (3 * 2 + x * 2) -50 + 20x = (6 + 2x) Solving -50 + 20x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 20x + -2x = 6 + 2x + -2x Combine like terms: 20x + -2x = 18x -50 + 18x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 18x = 6 + 0 -50 + 18x = 6 Add '50' to each side of the equation. -50 + 50 + 18x = 6 + 50 Combine like terms: -50 + 50 = 0 0 + 18x = 6 + 50 18x = 6 + 50 Combine like terms: 6 + 50 = 56 18x = 56 Divide each side by '18'. x = 3.111111111 Simplifying x = 3.111111111
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