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Simplifying -7 + -8(4X + 5) = 6X + -9 Reorder the terms: -7 + -8(5 + 4X) = 6X + -9 -7 + (5 * -8 + 4X * -8) = 6X + -9 -7 + (-40 + -32X) = 6X + -9 Combine like terms: -7 + -40 = -47 -47 + -32X = 6X + -9 Reorder the terms: -47 + -32X = -9 + 6X Solving -47 + -32X = -9 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -47 + -32X + -6X = -9 + 6X + -6X Combine like terms: -32X + -6X = -38X -47 + -38X = -9 + 6X + -6X Combine like terms: 6X + -6X = 0 -47 + -38X = -9 + 0 -47 + -38X = -9 Add '47' to each side of the equation. -47 + 47 + -38X = -9 + 47 Combine like terms: -47 + 47 = 0 0 + -38X = -9 + 47 -38X = -9 + 47 Combine like terms: -9 + 47 = 38 -38X = 38 Divide each side by '-38'. X = -1 Simplifying X = -1
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