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Simplifying 7x + -38 = -5(1 + -8x) Reorder the terms: -38 + 7x = -5(1 + -8x) -38 + 7x = (1 * -5 + -8x * -5) -38 + 7x = (-5 + 40x) Solving -38 + 7x = -5 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -38 + 7x + -40x = -5 + 40x + -40x Combine like terms: 7x + -40x = -33x -38 + -33x = -5 + 40x + -40x Combine like terms: 40x + -40x = 0 -38 + -33x = -5 + 0 -38 + -33x = -5 Add '38' to each side of the equation. -38 + 38 + -33x = -5 + 38 Combine like terms: -38 + 38 = 0 0 + -33x = -5 + 38 -33x = -5 + 38 Combine like terms: -5 + 38 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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