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Simplifying -4x + 6(-2x + -5) = -43 + -3x Reorder the terms: -4x + 6(-5 + -2x) = -43 + -3x -4x + (-5 * 6 + -2x * 6) = -43 + -3x -4x + (-30 + -12x) = -43 + -3x Reorder the terms: -30 + -4x + -12x = -43 + -3x Combine like terms: -4x + -12x = -16x -30 + -16x = -43 + -3x Solving -30 + -16x = -43 + -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. -30 + -16x + 3x = -43 + -3x + 3x Combine like terms: -16x + 3x = -13x -30 + -13x = -43 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -13x = -43 + 0 -30 + -13x = -43 Add '30' to each side of the equation. -30 + 30 + -13x = -43 + 30 Combine like terms: -30 + 30 = 0 0 + -13x = -43 + 30 -13x = -43 + 30 Combine like terms: -43 + 30 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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