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Simplifying 4x + -8 = 11 + -1(7 + -1x) Reorder the terms: -8 + 4x = 11 + -1(7 + -1x) -8 + 4x = 11 + (7 * -1 + -1x * -1) -8 + 4x = 11 + (-7 + 1x) Combine like terms: 11 + -7 = 4 -8 + 4x = 4 + 1x Solving -8 + 4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 4x + -1x = 4 + 1x + -1x Combine like terms: 4x + -1x = 3x -8 + 3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 3x = 4 + 0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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