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Simplifying 7(x + -6) = x(16 + -7) Reorder the terms: 7(-6 + x) = x(16 + -7) (-6 * 7 + x * 7) = x(16 + -7) (-42 + 7x) = x(16 + -7) Combine like terms: 16 + -7 = 9 -42 + 7x = x(9) Reorder the terms for easier multiplication: -42 + 7x = 9x Solving -42 + 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -42 + -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -2x = 0 Add '42' to each side of the equation. -42 + 42 + -2x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = 0 + 42 -2x = 0 + 42 Combine like terms: 0 + 42 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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