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Simplifying 6x + -1(3x + 8) = 4x + -43 Reorder the terms: 6x + -1(8 + 3x) = 4x + -43 6x + (8 * -1 + 3x * -1) = 4x + -43 6x + (-8 + -3x) = 4x + -43 Reorder the terms: -8 + 6x + -3x = 4x + -43 Combine like terms: 6x + -3x = 3x -8 + 3x = 4x + -43 Reorder the terms: -8 + 3x = -43 + 4x Solving -8 + 3x = -43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = -43 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = -43 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = -43 + 0 -8 + -1x = -43 Add '8' to each side of the equation. -8 + 8 + -1x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -43 + 8 -1x = -43 + 8 Combine like terms: -43 + 8 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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