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Simplifying 6(3x + -2) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) Reorder the terms: 6(-2 + 3x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) (-2 * 6 + 3x * 6) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) (-12 + 18x) + -5(6x + -1) = 3(x + -8) + -5(7x + -6) Reorder the terms: -12 + 18x + -5(-1 + 6x) = 3(x + -8) + -5(7x + -6) -12 + 18x + (-1 * -5 + 6x * -5) = 3(x + -8) + -5(7x + -6) -12 + 18x + (5 + -30x) = 3(x + -8) + -5(7x + -6) Reorder the terms: -12 + 5 + 18x + -30x = 3(x + -8) + -5(7x + -6) Combine like terms: -12 + 5 = -7 -7 + 18x + -30x = 3(x + -8) + -5(7x + -6) Combine like terms: 18x + -30x = -12x -7 + -12x = 3(x + -8) + -5(7x + -6) Reorder the terms: -7 + -12x = 3(-8 + x) + -5(7x + -6) -7 + -12x = (-8 * 3 + x * 3) + -5(7x + -6) -7 + -12x = (-24 + 3x) + -5(7x + -6) Reorder the terms: -7 + -12x = -24 + 3x + -5(-6 + 7x) -7 + -12x = -24 + 3x + (-6 * -5 + 7x * -5) -7 + -12x = -24 + 3x + (30 + -35x) Reorder the terms: -7 + -12x = -24 + 30 + 3x + -35x Combine like terms: -24 + 30 = 6 -7 + -12x = 6 + 3x + -35x Combine like terms: 3x + -35x = -32x -7 + -12x = 6 + -32x Solving -7 + -12x = 6 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -7 + -12x + 32x = 6 + -32x + 32x Combine like terms: -12x + 32x = 20x -7 + 20x = 6 + -32x + 32x Combine like terms: -32x + 32x = 0 -7 + 20x = 6 + 0 -7 + 20x = 6 Add '7' to each side of the equation. -7 + 7 + 20x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 6 + 7 20x = 6 + 7 Combine like terms: 6 + 7 = 13 20x = 13 Divide each side by '20'. x = 0.65 Simplifying x = 0.65
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