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Simplifying 4(x + 3) + -1(2 + 7x) + -6x = 20 Reorder the terms: 4(3 + x) + -1(2 + 7x) + -6x = 20 (3 * 4 + x * 4) + -1(2 + 7x) + -6x = 20 (12 + 4x) + -1(2 + 7x) + -6x = 20 12 + 4x + (2 * -1 + 7x * -1) + -6x = 20 12 + 4x + (-2 + -7x) + -6x = 20 Reorder the terms: 12 + -2 + 4x + -7x + -6x = 20 Combine like terms: 12 + -2 = 10 10 + 4x + -7x + -6x = 20 Combine like terms: 4x + -7x = -3x 10 + -3x + -6x = 20 Combine like terms: -3x + -6x = -9x 10 + -9x = 20 Solving 10 + -9x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 20 + -10 -9x = 20 + -10 Combine like terms: 20 + -10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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