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Simplifying 4x + -2(3x + -7) = 3 + -5(x + -4) Reorder the terms: 4x + -2(-7 + 3x) = 3 + -5(x + -4) 4x + (-7 * -2 + 3x * -2) = 3 + -5(x + -4) 4x + (14 + -6x) = 3 + -5(x + -4) Reorder the terms: 14 + 4x + -6x = 3 + -5(x + -4) Combine like terms: 4x + -6x = -2x 14 + -2x = 3 + -5(x + -4) Reorder the terms: 14 + -2x = 3 + -5(-4 + x) 14 + -2x = 3 + (-4 * -5 + x * -5) 14 + -2x = 3 + (20 + -5x) Combine like terms: 3 + 20 = 23 14 + -2x = 23 + -5x Solving 14 + -2x = 23 + -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. 14 + -2x + 5x = 23 + -5x + 5x Combine like terms: -2x + 5x = 3x 14 + 3x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 3x = 23 + 0 14 + 3x = 23 Add '-14' to each side of the equation. 14 + -14 + 3x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 23 + -14 3x = 23 + -14 Combine like terms: 23 + -14 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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