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Simplifying 5 + 6(x + -4) = 2 + -4(x + -8) Reorder the terms: 5 + 6(-4 + x) = 2 + -4(x + -8) 5 + (-4 * 6 + x * 6) = 2 + -4(x + -8) 5 + (-24 + 6x) = 2 + -4(x + -8) Combine like terms: 5 + -24 = -19 -19 + 6x = 2 + -4(x + -8) Reorder the terms: -19 + 6x = 2 + -4(-8 + x) -19 + 6x = 2 + (-8 * -4 + x * -4) -19 + 6x = 2 + (32 + -4x) Combine like terms: 2 + 32 = 34 -19 + 6x = 34 + -4x Solving -19 + 6x = 34 + -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. -19 + 6x + 4x = 34 + -4x + 4x Combine like terms: 6x + 4x = 10x -19 + 10x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -19 + 10x = 34 + 0 -19 + 10x = 34 Add '19' to each side of the equation. -19 + 19 + 10x = 34 + 19 Combine like terms: -19 + 19 = 0 0 + 10x = 34 + 19 10x = 34 + 19 Combine like terms: 34 + 19 = 53 10x = 53 Divide each side by '10'. x = 5.3 Simplifying x = 5.3
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