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Simplifying 3(x + -7) = 11x + -5(x + 2) Reorder the terms: 3(-7 + x) = 11x + -5(x + 2) (-7 * 3 + x * 3) = 11x + -5(x + 2) (-21 + 3x) = 11x + -5(x + 2) Reorder the terms: -21 + 3x = 11x + -5(2 + x) -21 + 3x = 11x + (2 * -5 + x * -5) -21 + 3x = 11x + (-10 + -5x) Reorder the terms: -21 + 3x = -10 + 11x + -5x Combine like terms: 11x + -5x = 6x -21 + 3x = -10 + 6x Solving -21 + 3x = -10 + 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. -21 + 3x + -6x = -10 + 6x + -6x Combine like terms: 3x + -6x = -3x -21 + -3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -3x = -10 + 0 -21 + -3x = -10 Add '21' to each side of the equation. -21 + 21 + -3x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -10 + 21 -3x = -10 + 21 Combine like terms: -10 + 21 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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