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Simplifying 8 + 3(x + -8) = 11 + -4(x + -7) Reorder the terms: 8 + 3(-8 + x) = 11 + -4(x + -7) 8 + (-8 * 3 + x * 3) = 11 + -4(x + -7) 8 + (-24 + 3x) = 11 + -4(x + -7) Combine like terms: 8 + -24 = -16 -16 + 3x = 11 + -4(x + -7) Reorder the terms: -16 + 3x = 11 + -4(-7 + x) -16 + 3x = 11 + (-7 * -4 + x * -4) -16 + 3x = 11 + (28 + -4x) Combine like terms: 11 + 28 = 39 -16 + 3x = 39 + -4x Solving -16 + 3x = 39 + -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. -16 + 3x + 4x = 39 + -4x + 4x Combine like terms: 3x + 4x = 7x -16 + 7x = 39 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 7x = 39 + 0 -16 + 7x = 39 Add '16' to each side of the equation. -16 + 16 + 7x = 39 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 39 + 16 7x = 39 + 16 Combine like terms: 39 + 16 = 55 7x = 55 Divide each side by '7'. x = 7.857142857 Simplifying x = 7.857142857
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