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Simplifying 8 + 4(x + -6) = 11 + -6(x + -7) Reorder the terms: 8 + 4(-6 + x) = 11 + -6(x + -7) 8 + (-6 * 4 + x * 4) = 11 + -6(x + -7) 8 + (-24 + 4x) = 11 + -6(x + -7) Combine like terms: 8 + -24 = -16 -16 + 4x = 11 + -6(x + -7) Reorder the terms: -16 + 4x = 11 + -6(-7 + x) -16 + 4x = 11 + (-7 * -6 + x * -6) -16 + 4x = 11 + (42 + -6x) Combine like terms: 11 + 42 = 53 -16 + 4x = 53 + -6x Solving -16 + 4x = 53 + -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. -16 + 4x + 6x = 53 + -6x + 6x Combine like terms: 4x + 6x = 10x -16 + 10x = 53 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 10x = 53 + 0 -16 + 10x = 53 Add '16' to each side of the equation. -16 + 16 + 10x = 53 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 53 + 16 10x = 53 + 16 Combine like terms: 53 + 16 = 69 10x = 69 Divide each side by '10'. x = 6.9 Simplifying x = 6.9
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