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Simplifying 3(x + -5) + 4 = -2(11 + 4x) Reorder the terms: 3(-5 + x) + 4 = -2(11 + 4x) (-5 * 3 + x * 3) + 4 = -2(11 + 4x) (-15 + 3x) + 4 = -2(11 + 4x) Reorder the terms: -15 + 4 + 3x = -2(11 + 4x) Combine like terms: -15 + 4 = -11 -11 + 3x = -2(11 + 4x) -11 + 3x = (11 * -2 + 4x * -2) -11 + 3x = (-22 + -8x) Solving -11 + 3x = -22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + 3x + 8x = -22 + -8x + 8x Combine like terms: 3x + 8x = 11x -11 + 11x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 11x = -22 + 0 -11 + 11x = -22 Add '11' to each side of the equation. -11 + 11 + 11x = -22 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = -22 + 11 11x = -22 + 11 Combine like terms: -22 + 11 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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