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Simplifying (-7)(x + 3) = (2)(x + 4) Reorder the terms: -7(3 + x) = (2)(x + 4) (3 * -7 + x * -7) = (2)(x + 4) (-21 + -7x) = (2)(x + 4) Reorder the terms: -21 + -7x = 2(4 + x) -21 + -7x = (4 * 2 + x * 2) -21 + -7x = (8 + 2x) Solving -21 + -7x = 8 + 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. -21 + -7x + -2x = 8 + 2x + -2x Combine like terms: -7x + -2x = -9x -21 + -9x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -9x = 8 + 0 -21 + -9x = 8 Add '21' to each side of the equation. -21 + 21 + -9x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 8 + 21 -9x = 8 + 21 Combine like terms: 8 + 21 = 29 -9x = 29 Divide each side by '-9'. x = -3.222222222 Simplifying x = -3.222222222
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