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Simplifying 4 + -7(3 + -2x) + 7 = 5(x + -2) + -9 4 + (3 * -7 + -2x * -7) + 7 = 5(x + -2) + -9 4 + (-21 + 14x) + 7 = 5(x + -2) + -9 Reorder the terms: 4 + -21 + 7 + 14x = 5(x + -2) + -9 Combine like terms: 4 + -21 = -17 -17 + 7 + 14x = 5(x + -2) + -9 Combine like terms: -17 + 7 = -10 -10 + 14x = 5(x + -2) + -9 Reorder the terms: -10 + 14x = 5(-2 + x) + -9 -10 + 14x = (-2 * 5 + x * 5) + -9 -10 + 14x = (-10 + 5x) + -9 Reorder the terms: -10 + 14x = -10 + -9 + 5x Combine like terms: -10 + -9 = -19 -10 + 14x = -19 + 5x Solving -10 + 14x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 14x + -5x = -19 + 5x + -5x Combine like terms: 14x + -5x = 9x -10 + 9x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 9x = -19 + 0 -10 + 9x = -19 Add '10' to each side of the equation. -10 + 10 + 9x = -19 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = -19 + 10 9x = -19 + 10 Combine like terms: -19 + 10 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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