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Simplifying 5(2x + -4) = 3x + -1(6x + -19) Reorder the terms: 5(-4 + 2x) = 3x + -1(6x + -19) (-4 * 5 + 2x * 5) = 3x + -1(6x + -19) (-20 + 10x) = 3x + -1(6x + -19) Reorder the terms: -20 + 10x = 3x + -1(-19 + 6x) -20 + 10x = 3x + (-19 * -1 + 6x * -1) -20 + 10x = 3x + (19 + -6x) Reorder the terms: -20 + 10x = 19 + 3x + -6x Combine like terms: 3x + -6x = -3x -20 + 10x = 19 + -3x Solving -20 + 10x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 10x + 3x = 19 + -3x + 3x Combine like terms: 10x + 3x = 13x -20 + 13x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 13x = 19 + 0 -20 + 13x = 19 Add '20' to each side of the equation. -20 + 20 + 13x = 19 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 19 + 20 13x = 19 + 20 Combine like terms: 19 + 20 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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