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Simplifying 4(x + -2) = -6(x + 3) + 42 Reorder the terms: 4(-2 + x) = -6(x + 3) + 42 (-2 * 4 + x * 4) = -6(x + 3) + 42 (-8 + 4x) = -6(x + 3) + 42 Reorder the terms: -8 + 4x = -6(3 + x) + 42 -8 + 4x = (3 * -6 + x * -6) + 42 -8 + 4x = (-18 + -6x) + 42 Reorder the terms: -8 + 4x = -18 + 42 + -6x Combine like terms: -18 + 42 = 24 -8 + 4x = 24 + -6x Solving -8 + 4x = 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. -8 + 4x + 6x = 24 + -6x + 6x Combine like terms: 4x + 6x = 10x -8 + 10x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = 24 + 0 -8 + 10x = 24 Add '8' to each side of the equation. -8 + 8 + 10x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 24 + 8 10x = 24 + 8 Combine like terms: 24 + 8 = 32 10x = 32 Divide each side by '10'. x = 3.2 Simplifying x = 3.2
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