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Simplifying 2(x + -4) = -3(x + 7) Reorder the terms: 2(-4 + x) = -3(x + 7) (-4 * 2 + x * 2) = -3(x + 7) (-8 + 2x) = -3(x + 7) Reorder the terms: -8 + 2x = -3(7 + x) -8 + 2x = (7 * -3 + x * -3) -8 + 2x = (-21 + -3x) Solving -8 + 2x = -21 + -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. -8 + 2x + 3x = -21 + -3x + 3x Combine like terms: 2x + 3x = 5x -8 + 5x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 5x = -21 + 0 -8 + 5x = -21 Add '8' to each side of the equation. -8 + 8 + 5x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -21 + 8 5x = -21 + 8 Combine like terms: -21 + 8 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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