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Simplifying 4 + -6(x + 4) = 3(x + -2) + 4 Reorder the terms: 4 + -6(4 + x) = 3(x + -2) + 4 4 + (4 * -6 + x * -6) = 3(x + -2) + 4 4 + (-24 + -6x) = 3(x + -2) + 4 Combine like terms: 4 + -24 = -20 -20 + -6x = 3(x + -2) + 4 Reorder the terms: -20 + -6x = 3(-2 + x) + 4 -20 + -6x = (-2 * 3 + x * 3) + 4 -20 + -6x = (-6 + 3x) + 4 Reorder the terms: -20 + -6x = -6 + 4 + 3x Combine like terms: -6 + 4 = -2 -20 + -6x = -2 + 3x Solving -20 + -6x = -2 + 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. -20 + -6x + -3x = -2 + 3x + -3x Combine like terms: -6x + -3x = -9x -20 + -9x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -9x = -2 + 0 -20 + -9x = -2 Add '20' to each side of the equation. -20 + 20 + -9x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = -2 + 20 -9x = -2 + 20 Combine like terms: -2 + 20 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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