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Simplifying 9(6x + -5) + -7(3 + -7x) + 6(-3x + 10) = -6(8 + -8x) Reorder the terms: 9(-5 + 6x) + -7(3 + -7x) + 6(-3x + 10) = -6(8 + -8x) (-5 * 9 + 6x * 9) + -7(3 + -7x) + 6(-3x + 10) = -6(8 + -8x) (-45 + 54x) + -7(3 + -7x) + 6(-3x + 10) = -6(8 + -8x) -45 + 54x + (3 * -7 + -7x * -7) + 6(-3x + 10) = -6(8 + -8x) -45 + 54x + (-21 + 49x) + 6(-3x + 10) = -6(8 + -8x) Reorder the terms: -45 + 54x + -21 + 49x + 6(10 + -3x) = -6(8 + -8x) -45 + 54x + -21 + 49x + (10 * 6 + -3x * 6) = -6(8 + -8x) -45 + 54x + -21 + 49x + (60 + -18x) = -6(8 + -8x) Reorder the terms: -45 + -21 + 60 + 54x + 49x + -18x = -6(8 + -8x) Combine like terms: -45 + -21 = -66 -66 + 60 + 54x + 49x + -18x = -6(8 + -8x) Combine like terms: -66 + 60 = -6 -6 + 54x + 49x + -18x = -6(8 + -8x) Combine like terms: 54x + 49x = 103x -6 + 103x + -18x = -6(8 + -8x) Combine like terms: 103x + -18x = 85x -6 + 85x = -6(8 + -8x) -6 + 85x = (8 * -6 + -8x * -6) -6 + 85x = (-48 + 48x) Solving -6 + 85x = -48 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -6 + 85x + -48x = -48 + 48x + -48x Combine like terms: 85x + -48x = 37x -6 + 37x = -48 + 48x + -48x Combine like terms: 48x + -48x = 0 -6 + 37x = -48 + 0 -6 + 37x = -48 Add '6' to each side of the equation. -6 + 6 + 37x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + 37x = -48 + 6 37x = -48 + 6 Combine like terms: -48 + 6 = -42 37x = -42 Divide each side by '37'. x = -1.135135135 Simplifying x = -1.135135135
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