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Simplifying 6(x + -4) = -4(x + 1) + 26 Reorder the terms: 6(-4 + x) = -4(x + 1) + 26 (-4 * 6 + x * 6) = -4(x + 1) + 26 (-24 + 6x) = -4(x + 1) + 26 Reorder the terms: -24 + 6x = -4(1 + x) + 26 -24 + 6x = (1 * -4 + x * -4) + 26 -24 + 6x = (-4 + -4x) + 26 Reorder the terms: -24 + 6x = -4 + 26 + -4x Combine like terms: -4 + 26 = 22 -24 + 6x = 22 + -4x Solving -24 + 6x = 22 + -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 = 22 + -4x + 4x Combine like terms: 6x + 4x = 10x -24 + 10x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 10x = 22 + 0 -24 + 10x = 22 Add '24' to each side of the equation. -24 + 24 + 10x = 22 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 22 + 24 10x = 22 + 24 Combine like terms: 22 + 24 = 46 10x = 46 Divide each side by '10'. x = 4.6 Simplifying x = 4.6
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