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Simplifying 6(2x + 6) = 4x + -3 + -1(x + -4) Reorder the terms: 6(6 + 2x) = 4x + -3 + -1(x + -4) (6 * 6 + 2x * 6) = 4x + -3 + -1(x + -4) (36 + 12x) = 4x + -3 + -1(x + -4) Reorder the terms: 36 + 12x = 4x + -3 + -1(-4 + x) 36 + 12x = 4x + -3 + (-4 * -1 + x * -1) 36 + 12x = 4x + -3 + (4 + -1x) Reorder the terms: 36 + 12x = -3 + 4 + 4x + -1x Combine like terms: -3 + 4 = 1 36 + 12x = 1 + 4x + -1x Combine like terms: 4x + -1x = 3x 36 + 12x = 1 + 3x Solving 36 + 12x = 1 + 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. 36 + 12x + -3x = 1 + 3x + -3x Combine like terms: 12x + -3x = 9x 36 + 9x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 9x = 1 + 0 36 + 9x = 1 Add '-36' to each side of the equation. 36 + -36 + 9x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 9x = 1 + -36 9x = 1 + -36 Combine like terms: 1 + -36 = -35 9x = -35 Divide each side by '9'. x = -3.888888889 Simplifying x = -3.888888889
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