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Simplifying 8 + -5(x + -7) = 6 + -4x Reorder the terms: 8 + -5(-7 + x) = 6 + -4x 8 + (-7 * -5 + x * -5) = 6 + -4x 8 + (35 + -5x) = 6 + -4x Combine like terms: 8 + 35 = 43 43 + -5x = 6 + -4x Solving 43 + -5x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 43 + -5x + 4x = 6 + -4x + 4x Combine like terms: -5x + 4x = -1x 43 + -1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 43 + -1x = 6 + 0 43 + -1x = 6 Add '-43' to each side of the equation. 43 + -43 + -1x = 6 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = 6 + -43 -1x = 6 + -43 Combine like terms: 6 + -43 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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