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Simplifying 7x + -1(6x + 7) = 2x + -30 Reorder the terms: 7x + -1(7 + 6x) = 2x + -30 7x + (7 * -1 + 6x * -1) = 2x + -30 7x + (-7 + -6x) = 2x + -30 Reorder the terms: -7 + 7x + -6x = 2x + -30 Combine like terms: 7x + -6x = 1x -7 + 1x = 2x + -30 Reorder the terms: -7 + 1x = -30 + 2x Solving -7 + 1x = -30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 1x + -2x = -30 + 2x + -2x Combine like terms: 1x + -2x = -1x -7 + -1x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1x = -30 + 0 -7 + -1x = -30 Add '7' to each side of the equation. -7 + 7 + -1x = -30 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -30 + 7 -1x = -30 + 7 Combine like terms: -30 + 7 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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