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Simplifying 11(x + -7) = 4(3x + -4) Reorder the terms: 11(-7 + x) = 4(3x + -4) (-7 * 11 + x * 11) = 4(3x + -4) (-77 + 11x) = 4(3x + -4) Reorder the terms: -77 + 11x = 4(-4 + 3x) -77 + 11x = (-4 * 4 + 3x * 4) -77 + 11x = (-16 + 12x) Solving -77 + 11x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -77 + 11x + -12x = -16 + 12x + -12x Combine like terms: 11x + -12x = -1x -77 + -1x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -77 + -1x = -16 + 0 -77 + -1x = -16 Add '77' to each side of the equation. -77 + 77 + -1x = -16 + 77 Combine like terms: -77 + 77 = 0 0 + -1x = -16 + 77 -1x = -16 + 77 Combine like terms: -16 + 77 = 61 -1x = 61 Divide each side by '-1'. x = -61 Simplifying x = -61
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