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Simplifying 7(x + -6) = -2x + 21 Reorder the terms: 7(-6 + x) = -2x + 21 (-6 * 7 + x * 7) = -2x + 21 (-42 + 7x) = -2x + 21 Reorder the terms: -42 + 7x = 21 + -2x Solving -42 + 7x = 21 + -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. -42 + 7x + 2x = 21 + -2x + 2x Combine like terms: 7x + 2x = 9x -42 + 9x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 9x = 21 + 0 -42 + 9x = 21 Add '42' to each side of the equation. -42 + 42 + 9x = 21 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = 21 + 42 9x = 21 + 42 Combine like terms: 21 + 42 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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