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Simplifying x + -43 = 4(x + 3) + -6 Reorder the terms: -43 + x = 4(x + 3) + -6 Reorder the terms: -43 + x = 4(3 + x) + -6 -43 + x = (3 * 4 + x * 4) + -6 -43 + x = (12 + 4x) + -6 Reorder the terms: -43 + x = 12 + -6 + 4x Combine like terms: 12 + -6 = 6 -43 + x = 6 + 4x Solving -43 + x = 6 + 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. -43 + x + -4x = 6 + 4x + -4x Combine like terms: x + -4x = -3x -43 + -3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + -3x = 6 + 0 -43 + -3x = 6 Add '43' to each side of the equation. -43 + 43 + -3x = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -3x = 6 + 43 -3x = 6 + 43 Combine like terms: 6 + 43 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333
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