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Simplifying 3(-4x + 6) + -4(2x + -3) = 13x + 19 Reorder the terms: 3(6 + -4x) + -4(2x + -3) = 13x + 19 (6 * 3 + -4x * 3) + -4(2x + -3) = 13x + 19 (18 + -12x) + -4(2x + -3) = 13x + 19 Reorder the terms: 18 + -12x + -4(-3 + 2x) = 13x + 19 18 + -12x + (-3 * -4 + 2x * -4) = 13x + 19 18 + -12x + (12 + -8x) = 13x + 19 Reorder the terms: 18 + 12 + -12x + -8x = 13x + 19 Combine like terms: 18 + 12 = 30 30 + -12x + -8x = 13x + 19 Combine like terms: -12x + -8x = -20x 30 + -20x = 13x + 19 Reorder the terms: 30 + -20x = 19 + 13x Solving 30 + -20x = 19 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + -20x + -13x = 19 + 13x + -13x Combine like terms: -20x + -13x = -33x 30 + -33x = 19 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -33x = 19 + 0 30 + -33x = 19 Add '-30' to each side of the equation. 30 + -30 + -33x = 19 + -30 Combine like terms: 30 + -30 = 0 0 + -33x = 19 + -30 -33x = 19 + -30 Combine like terms: 19 + -30 = -11 -33x = -11 Divide each side by '-33'. x = 0.3333333333 Simplifying x = 0.3333333333
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