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Simplifying 5x + 2(3x + -7) = 20 + -4(x + -5) Reorder the terms: 5x + 2(-7 + 3x) = 20 + -4(x + -5) 5x + (-7 * 2 + 3x * 2) = 20 + -4(x + -5) 5x + (-14 + 6x) = 20 + -4(x + -5) Reorder the terms: -14 + 5x + 6x = 20 + -4(x + -5) Combine like terms: 5x + 6x = 11x -14 + 11x = 20 + -4(x + -5) Reorder the terms: -14 + 11x = 20 + -4(-5 + x) -14 + 11x = 20 + (-5 * -4 + x * -4) -14 + 11x = 20 + (20 + -4x) Combine like terms: 20 + 20 = 40 -14 + 11x = 40 + -4x Solving -14 + 11x = 40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 11x + 4x = 40 + -4x + 4x Combine like terms: 11x + 4x = 15x -14 + 15x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 15x = 40 + 0 -14 + 15x = 40 Add '14' to each side of the equation. -14 + 14 + 15x = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = 40 + 14 15x = 40 + 14 Combine like terms: 40 + 14 = 54 15x = 54 Divide each side by '15'. x = 3.6 Simplifying x = 3.6
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