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Simplifying 3 + 4(x + -6) = 4 + -6(x + -2) Reorder the terms: 3 + 4(-6 + x) = 4 + -6(x + -2) 3 + (-6 * 4 + x * 4) = 4 + -6(x + -2) 3 + (-24 + 4x) = 4 + -6(x + -2) Combine like terms: 3 + -24 = -21 -21 + 4x = 4 + -6(x + -2) Reorder the terms: -21 + 4x = 4 + -6(-2 + x) -21 + 4x = 4 + (-2 * -6 + x * -6) -21 + 4x = 4 + (12 + -6x) Combine like terms: 4 + 12 = 16 -21 + 4x = 16 + -6x Solving -21 + 4x = 16 + -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. -21 + 4x + 6x = 16 + -6x + 6x Combine like terms: 4x + 6x = 10x -21 + 10x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 10x = 16 + 0 -21 + 10x = 16 Add '21' to each side of the equation. -21 + 21 + 10x = 16 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 16 + 21 10x = 16 + 21 Combine like terms: 16 + 21 = 37 10x = 37 Divide each side by '10'. x = 3.7 Simplifying x = 3.7
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