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Simplifying 2(3x + -4) + 6(x + -5) = -3(3 + -5x) + 5x + -11 Reorder the terms: 2(-4 + 3x) + 6(x + -5) = -3(3 + -5x) + 5x + -11 (-4 * 2 + 3x * 2) + 6(x + -5) = -3(3 + -5x) + 5x + -11 (-8 + 6x) + 6(x + -5) = -3(3 + -5x) + 5x + -11 Reorder the terms: -8 + 6x + 6(-5 + x) = -3(3 + -5x) + 5x + -11 -8 + 6x + (-5 * 6 + x * 6) = -3(3 + -5x) + 5x + -11 -8 + 6x + (-30 + 6x) = -3(3 + -5x) + 5x + -11 Reorder the terms: -8 + -30 + 6x + 6x = -3(3 + -5x) + 5x + -11 Combine like terms: -8 + -30 = -38 -38 + 6x + 6x = -3(3 + -5x) + 5x + -11 Combine like terms: 6x + 6x = 12x -38 + 12x = -3(3 + -5x) + 5x + -11 -38 + 12x = (3 * -3 + -5x * -3) + 5x + -11 -38 + 12x = (-9 + 15x) + 5x + -11 Reorder the terms: -38 + 12x = -9 + -11 + 15x + 5x Combine like terms: -9 + -11 = -20 -38 + 12x = -20 + 15x + 5x Combine like terms: 15x + 5x = 20x -38 + 12x = -20 + 20x Solving -38 + 12x = -20 + 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. -38 + 12x + -20x = -20 + 20x + -20x Combine like terms: 12x + -20x = -8x -38 + -8x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -38 + -8x = -20 + 0 -38 + -8x = -20 Add '38' to each side of the equation. -38 + 38 + -8x = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -8x = -20 + 38 -8x = -20 + 38 Combine like terms: -20 + 38 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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