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Simplifying 4 + -3(2x + -6) = (4x + -3) + -5(3x + -7) Reorder the terms: 4 + -3(-6 + 2x) = (4x + -3) + -5(3x + -7) 4 + (-6 * -3 + 2x * -3) = (4x + -3) + -5(3x + -7) 4 + (18 + -6x) = (4x + -3) + -5(3x + -7) Combine like terms: 4 + 18 = 22 22 + -6x = (4x + -3) + -5(3x + -7) Reorder the terms: 22 + -6x = (-3 + 4x) + -5(3x + -7) Remove parenthesis around (-3 + 4x) 22 + -6x = -3 + 4x + -5(3x + -7) Reorder the terms: 22 + -6x = -3 + 4x + -5(-7 + 3x) 22 + -6x = -3 + 4x + (-7 * -5 + 3x * -5) 22 + -6x = -3 + 4x + (35 + -15x) Reorder the terms: 22 + -6x = -3 + 35 + 4x + -15x Combine like terms: -3 + 35 = 32 22 + -6x = 32 + 4x + -15x Combine like terms: 4x + -15x = -11x 22 + -6x = 32 + -11x Solving 22 + -6x = 32 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 22 + -6x + 11x = 32 + -11x + 11x Combine like terms: -6x + 11x = 5x 22 + 5x = 32 + -11x + 11x Combine like terms: -11x + 11x = 0 22 + 5x = 32 + 0 22 + 5x = 32 Add '-22' to each side of the equation. 22 + -22 + 5x = 32 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 32 + -22 5x = 32 + -22 Combine like terms: 32 + -22 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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