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Simplifying 4(x + -8) + -11 = 4 + 11(x + 4) Reorder the terms: 4(-8 + x) + -11 = 4 + 11(x + 4) (-8 * 4 + x * 4) + -11 = 4 + 11(x + 4) (-32 + 4x) + -11 = 4 + 11(x + 4) Reorder the terms: -32 + -11 + 4x = 4 + 11(x + 4) Combine like terms: -32 + -11 = -43 -43 + 4x = 4 + 11(x + 4) Reorder the terms: -43 + 4x = 4 + 11(4 + x) -43 + 4x = 4 + (4 * 11 + x * 11) -43 + 4x = 4 + (44 + 11x) Combine like terms: 4 + 44 = 48 -43 + 4x = 48 + 11x Solving -43 + 4x = 48 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -43 + 4x + -11x = 48 + 11x + -11x Combine like terms: 4x + -11x = -7x -43 + -7x = 48 + 11x + -11x Combine like terms: 11x + -11x = 0 -43 + -7x = 48 + 0 -43 + -7x = 48 Add '43' to each side of the equation. -43 + 43 + -7x = 48 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 48 + 43 -7x = 48 + 43 Combine like terms: 48 + 43 = 91 -7x = 91 Divide each side by '-7'. x = -13 Simplifying x = -13
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