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Simplifying 2(x + -3) = 19 + -5(4x + 1) Reorder the terms: 2(-3 + x) = 19 + -5(4x + 1) (-3 * 2 + x * 2) = 19 + -5(4x + 1) (-6 + 2x) = 19 + -5(4x + 1) Reorder the terms: -6 + 2x = 19 + -5(1 + 4x) -6 + 2x = 19 + (1 * -5 + 4x * -5) -6 + 2x = 19 + (-5 + -20x) Combine like terms: 19 + -5 = 14 -6 + 2x = 14 + -20x Solving -6 + 2x = 14 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -6 + 2x + 20x = 14 + -20x + 20x Combine like terms: 2x + 20x = 22x -6 + 22x = 14 + -20x + 20x Combine like terms: -20x + 20x = 0 -6 + 22x = 14 + 0 -6 + 22x = 14 Add '6' to each side of the equation. -6 + 6 + 22x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 14 + 6 22x = 14 + 6 Combine like terms: 14 + 6 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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