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Simplifying 3(x + -7) = 4 + -2(x + 2) Reorder the terms: 3(-7 + x) = 4 + -2(x + 2) (-7 * 3 + x * 3) = 4 + -2(x + 2) (-21 + 3x) = 4 + -2(x + 2) Reorder the terms: -21 + 3x = 4 + -2(2 + x) -21 + 3x = 4 + (2 * -2 + x * -2) -21 + 3x = 4 + (-4 + -2x) Combine like terms: 4 + -4 = 0 -21 + 3x = 0 + -2x -21 + 3x = -2x Solving -21 + 3x = -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 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x -21 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 5x = 0 Add '21' to each side of the equation. -21 + 21 + 5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 0 + 21 5x = 0 + 21 Combine like terms: 0 + 21 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
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