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Simplifying -6(2x + 3) + -8(4x + -7) = -1x + (x + -8) Reorder the terms: -6(3 + 2x) + -8(4x + -7) = -1x + (x + -8) (3 * -6 + 2x * -6) + -8(4x + -7) = -1x + (x + -8) (-18 + -12x) + -8(4x + -7) = -1x + (x + -8) Reorder the terms: -18 + -12x + -8(-7 + 4x) = -1x + (x + -8) -18 + -12x + (-7 * -8 + 4x * -8) = -1x + (x + -8) -18 + -12x + (56 + -32x) = -1x + (x + -8) Reorder the terms: -18 + 56 + -12x + -32x = -1x + (x + -8) Combine like terms: -18 + 56 = 38 38 + -12x + -32x = -1x + (x + -8) Combine like terms: -12x + -32x = -44x 38 + -44x = -1x + (x + -8) Reorder the terms: 38 + -44x = -1x + (-8 + x) Remove parenthesis around (-8 + x) 38 + -44x = -1x + -8 + x Reorder the terms: 38 + -44x = -8 + -1x + x Combine like terms: -1x + x = 0 38 + -44x = -8 + 0 38 + -44x = -8 Solving 38 + -44x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -44x = -8 + -38 Combine like terms: 38 + -38 = 0 0 + -44x = -8 + -38 -44x = -8 + -38 Combine like terms: -8 + -38 = -46 -44x = -46 Divide each side by '-44'. x = 1.045454545 Simplifying x = 1.045454545
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