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Simplifying 2x + -3(x + 7) = x + -4(x + 2) Reorder the terms: 2x + -3(7 + x) = x + -4(x + 2) 2x + (7 * -3 + x * -3) = x + -4(x + 2) 2x + (-21 + -3x) = x + -4(x + 2) Reorder the terms: -21 + 2x + -3x = x + -4(x + 2) Combine like terms: 2x + -3x = -1x -21 + -1x = x + -4(x + 2) Reorder the terms: -21 + -1x = x + -4(2 + x) -21 + -1x = x + (2 * -4 + x * -4) -21 + -1x = x + (-8 + -4x) Reorder the terms: -21 + -1x = -8 + x + -4x Combine like terms: x + -4x = -3x -21 + -1x = -8 + -3x Solving -21 + -1x = -8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -21 + -1x + 3x = -8 + -3x + 3x Combine like terms: -1x + 3x = 2x -21 + 2x = -8 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 2x = -8 + 0 -21 + 2x = -8 Add '21' to each side of the equation. -21 + 21 + 2x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -8 + 21 2x = -8 + 21 Combine like terms: -8 + 21 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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