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Simplifying 7x + -1(8x + 6) = 7x + -30 Reorder the terms: 7x + -1(6 + 8x) = 7x + -30 7x + (6 * -1 + 8x * -1) = 7x + -30 7x + (-6 + -8x) = 7x + -30 Reorder the terms: -6 + 7x + -8x = 7x + -30 Combine like terms: 7x + -8x = -1x -6 + -1x = 7x + -30 Reorder the terms: -6 + -1x = -30 + 7x Solving -6 + -1x = -30 + 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. -6 + -1x + -7x = -30 + 7x + -7x Combine like terms: -1x + -7x = -8x -6 + -8x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -8x = -30 + 0 -6 + -8x = -30 Add '6' to each side of the equation. -6 + 6 + -8x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -30 + 6 -8x = -30 + 6 Combine like terms: -30 + 6 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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