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Simplifying 38 + -1(x + 5) = 8x + -3 Reorder the terms: 38 + -1(5 + x) = 8x + -3 38 + (5 * -1 + x * -1) = 8x + -3 38 + (-5 + -1x) = 8x + -3 Combine like terms: 38 + -5 = 33 33 + -1x = 8x + -3 Reorder the terms: 33 + -1x = -3 + 8x Solving 33 + -1x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 33 + -1x + -8x = -3 + 8x + -8x Combine like terms: -1x + -8x = -9x 33 + -9x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + -9x = -3 + 0 33 + -9x = -3 Add '-33' to each side of the equation. 33 + -33 + -9x = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -9x = -3 + -33 -9x = -3 + -33 Combine like terms: -3 + -33 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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