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Simplifying 4x + 3(x + -2) = 20 + -2(8 + -1x) Reorder the terms: 4x + 3(-2 + x) = 20 + -2(8 + -1x) 4x + (-2 * 3 + x * 3) = 20 + -2(8 + -1x) 4x + (-6 + 3x) = 20 + -2(8 + -1x) Reorder the terms: -6 + 4x + 3x = 20 + -2(8 + -1x) Combine like terms: 4x + 3x = 7x -6 + 7x = 20 + -2(8 + -1x) -6 + 7x = 20 + (8 * -2 + -1x * -2) -6 + 7x = 20 + (-16 + 2x) Combine like terms: 20 + -16 = 4 -6 + 7x = 4 + 2x Solving -6 + 7x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = 4 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = 4 + 0 -6 + 5x = 4 Add '6' to each side of the equation. -6 + 6 + 5x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 4 + 6 5x = 4 + 6 Combine like terms: 4 + 6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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