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Simplifying -38 = 7x + -5(3x + -2) Reorder the terms: -38 = 7x + -5(-2 + 3x) -38 = 7x + (-2 * -5 + 3x * -5) -38 = 7x + (10 + -15x) Reorder the terms: -38 = 10 + 7x + -15x Combine like terms: 7x + -15x = -8x -38 = 10 + -8x Solving -38 = 10 + -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. -38 + 8x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -38 + 8x = 10 + 0 -38 + 8x = 10 Add '38' to each side of the equation. -38 + 38 + 8x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 10 + 38 8x = 10 + 38 Combine like terms: 10 + 38 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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