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Simplifying 6(x + -4) = -4(x + 1) + 46 Reorder the terms: 6(-4 + x) = -4(x + 1) + 46 (-4 * 6 + x * 6) = -4(x + 1) + 46 (-24 + 6x) = -4(x + 1) + 46 Reorder the terms: -24 + 6x = -4(1 + x) + 46 -24 + 6x = (1 * -4 + x * -4) + 46 -24 + 6x = (-4 + -4x) + 46 Reorder the terms: -24 + 6x = -4 + 46 + -4x Combine like terms: -4 + 46 = 42 -24 + 6x = 42 + -4x Solving -24 + 6x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + 6x + 4x = 42 + -4x + 4x Combine like terms: 6x + 4x = 10x -24 + 10x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 10x = 42 + 0 -24 + 10x = 42 Add '24' to each side of the equation. -24 + 24 + 10x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 42 + 24 10x = 42 + 24 Combine like terms: 42 + 24 = 66 10x = 66 Divide each side by '10'. x = 6.6 Simplifying x = 6.6
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