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Simplifying -8(6x + 5) = 3(8x + 1) + 173 Reorder the terms: -8(5 + 6x) = 3(8x + 1) + 173 (5 * -8 + 6x * -8) = 3(8x + 1) + 173 (-40 + -48x) = 3(8x + 1) + 173 Reorder the terms: -40 + -48x = 3(1 + 8x) + 173 -40 + -48x = (1 * 3 + 8x * 3) + 173 -40 + -48x = (3 + 24x) + 173 Reorder the terms: -40 + -48x = 3 + 173 + 24x Combine like terms: 3 + 173 = 176 -40 + -48x = 176 + 24x Solving -40 + -48x = 176 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + -48x + -24x = 176 + 24x + -24x Combine like terms: -48x + -24x = -72x -40 + -72x = 176 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -72x = 176 + 0 -40 + -72x = 176 Add '40' to each side of the equation. -40 + 40 + -72x = 176 + 40 Combine like terms: -40 + 40 = 0 0 + -72x = 176 + 40 -72x = 176 + 40 Combine like terms: 176 + 40 = 216 -72x = 216 Divide each side by '-72'. x = -3 Simplifying x = -3
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