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Simplifying -6(x + 5) + 3 = 6(x + 4) Reorder the terms: -6(5 + x) + 3 = 6(x + 4) (5 * -6 + x * -6) + 3 = 6(x + 4) (-30 + -6x) + 3 = 6(x + 4) Reorder the terms: -30 + 3 + -6x = 6(x + 4) Combine like terms: -30 + 3 = -27 -27 + -6x = 6(x + 4) Reorder the terms: -27 + -6x = 6(4 + x) -27 + -6x = (4 * 6 + x * 6) -27 + -6x = (24 + 6x) Solving -27 + -6x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + -6x + -6x = 24 + 6x + -6x Combine like terms: -6x + -6x = -12x -27 + -12x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -12x = 24 + 0 -27 + -12x = 24 Add '27' to each side of the equation. -27 + 27 + -12x = 24 + 27 Combine like terms: -27 + 27 = 0 0 + -12x = 24 + 27 -12x = 24 + 27 Combine like terms: 24 + 27 = 51 -12x = 51 Divide each side by '-12'. x = -4.25 Simplifying x = -4.25
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