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Simplifying 2(3x + -6) + 6(x + -5) = -3(3 + -5x) + 5x + -19 Reorder the terms: 2(-6 + 3x) + 6(x + -5) = -3(3 + -5x) + 5x + -19 (-6 * 2 + 3x * 2) + 6(x + -5) = -3(3 + -5x) + 5x + -19 (-12 + 6x) + 6(x + -5) = -3(3 + -5x) + 5x + -19 Reorder the terms: -12 + 6x + 6(-5 + x) = -3(3 + -5x) + 5x + -19 -12 + 6x + (-5 * 6 + x * 6) = -3(3 + -5x) + 5x + -19 -12 + 6x + (-30 + 6x) = -3(3 + -5x) + 5x + -19 Reorder the terms: -12 + -30 + 6x + 6x = -3(3 + -5x) + 5x + -19 Combine like terms: -12 + -30 = -42 -42 + 6x + 6x = -3(3 + -5x) + 5x + -19 Combine like terms: 6x + 6x = 12x -42 + 12x = -3(3 + -5x) + 5x + -19 -42 + 12x = (3 * -3 + -5x * -3) + 5x + -19 -42 + 12x = (-9 + 15x) + 5x + -19 Reorder the terms: -42 + 12x = -9 + -19 + 15x + 5x Combine like terms: -9 + -19 = -28 -42 + 12x = -28 + 15x + 5x Combine like terms: 15x + 5x = 20x -42 + 12x = -28 + 20x Solving -42 + 12x = -28 + 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. -42 + 12x + -20x = -28 + 20x + -20x Combine like terms: 12x + -20x = -8x -42 + -8x = -28 + 20x + -20x Combine like terms: 20x + -20x = 0 -42 + -8x = -28 + 0 -42 + -8x = -28 Add '42' to each side of the equation. -42 + 42 + -8x = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = -28 + 42 -8x = -28 + 42 Combine like terms: -28 + 42 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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