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Simplifying -175 = 6(8x + -6) + 5 Reorder the terms: -175 = 6(-6 + 8x) + 5 -175 = (-6 * 6 + 8x * 6) + 5 -175 = (-36 + 48x) + 5 Reorder the terms: -175 = -36 + 5 + 48x Combine like terms: -36 + 5 = -31 -175 = -31 + 48x Solving -175 = -31 + 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. -175 + -48x = -31 + 48x + -48x Combine like terms: 48x + -48x = 0 -175 + -48x = -31 + 0 -175 + -48x = -31 Add '175' to each side of the equation. -175 + 175 + -48x = -31 + 175 Combine like terms: -175 + 175 = 0 0 + -48x = -31 + 175 -48x = -31 + 175 Combine like terms: -31 + 175 = 144 -48x = 144 Divide each side by '-48'. x = -3 Simplifying x = -3
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