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Simplifying 8 + -3(7x + -8) = -38 + -7x Reorder the terms: 8 + -3(-8 + 7x) = -38 + -7x 8 + (-8 * -3 + 7x * -3) = -38 + -7x 8 + (24 + -21x) = -38 + -7x Combine like terms: 8 + 24 = 32 32 + -21x = -38 + -7x Solving 32 + -21x = -38 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + -21x + 7x = -38 + -7x + 7x Combine like terms: -21x + 7x = -14x 32 + -14x = -38 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + -14x = -38 + 0 32 + -14x = -38 Add '-32' to each side of the equation. 32 + -32 + -14x = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -14x = -38 + -32 -14x = -38 + -32 Combine like terms: -38 + -32 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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