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Simplifying 3x + 4 = 11x + -5(x + -7) Reorder the terms: 4 + 3x = 11x + -5(x + -7) Reorder the terms: 4 + 3x = 11x + -5(-7 + x) 4 + 3x = 11x + (-7 * -5 + x * -5) 4 + 3x = 11x + (35 + -5x) Reorder the terms: 4 + 3x = 35 + 11x + -5x Combine like terms: 11x + -5x = 6x 4 + 3x = 35 + 6x Solving 4 + 3x = 35 + 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. 4 + 3x + -6x = 35 + 6x + -6x Combine like terms: 3x + -6x = -3x 4 + -3x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -3x = 35 + 0 4 + -3x = 35 Add '-4' to each side of the equation. 4 + -4 + -3x = 35 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 35 + -4 -3x = 35 + -4 Combine like terms: 35 + -4 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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