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Simplifying 4x + -3(2x + -7) = 9 + 5(x + -2) Reorder the terms: 4x + -3(-7 + 2x) = 9 + 5(x + -2) 4x + (-7 * -3 + 2x * -3) = 9 + 5(x + -2) 4x + (21 + -6x) = 9 + 5(x + -2) Reorder the terms: 21 + 4x + -6x = 9 + 5(x + -2) Combine like terms: 4x + -6x = -2x 21 + -2x = 9 + 5(x + -2) Reorder the terms: 21 + -2x = 9 + 5(-2 + x) 21 + -2x = 9 + (-2 * 5 + x * 5) 21 + -2x = 9 + (-10 + 5x) Combine like terms: 9 + -10 = -1 21 + -2x = -1 + 5x Solving 21 + -2x = -1 + 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. 21 + -2x + -5x = -1 + 5x + -5x Combine like terms: -2x + -5x = -7x 21 + -7x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -7x = -1 + 0 21 + -7x = -1 Add '-21' to each side of the equation. 21 + -21 + -7x = -1 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -1 + -21 -7x = -1 + -21 Combine like terms: -1 + -21 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143
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