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Simplifying 4x + -3(x + 2) = 5(4 + -1x) Reorder the terms: 4x + -3(2 + x) = 5(4 + -1x) 4x + (2 * -3 + x * -3) = 5(4 + -1x) 4x + (-6 + -3x) = 5(4 + -1x) Reorder the terms: -6 + 4x + -3x = 5(4 + -1x) Combine like terms: 4x + -3x = 1x -6 + 1x = 5(4 + -1x) -6 + 1x = (4 * 5 + -1x * 5) -6 + 1x = (20 + -5x) Solving -6 + 1x = 20 + -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. -6 + 1x + 5x = 20 + -5x + 5x Combine like terms: 1x + 5x = 6x -6 + 6x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 6x = 20 + 0 -6 + 6x = 20 Add '6' to each side of the equation. -6 + 6 + 6x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 20 + 6 6x = 20 + 6 Combine like terms: 20 + 6 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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