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Simplifying 4 + 3(x + -5) = -2(x + 7) Reorder the terms: 4 + 3(-5 + x) = -2(x + 7) 4 + (-5 * 3 + x * 3) = -2(x + 7) 4 + (-15 + 3x) = -2(x + 7) Combine like terms: 4 + -15 = -11 -11 + 3x = -2(x + 7) Reorder the terms: -11 + 3x = -2(7 + x) -11 + 3x = (7 * -2 + x * -2) -11 + 3x = (-14 + -2x) Solving -11 + 3x = -14 + -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. -11 + 3x + 2x = -14 + -2x + 2x Combine like terms: 3x + 2x = 5x -11 + 5x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 5x = -14 + 0 -11 + 5x = -14 Add '11' to each side of the equation. -11 + 11 + 5x = -14 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = -14 + 11 5x = -14 + 11 Combine like terms: -14 + 11 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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