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Simplifying 5x + -3(x + 2) = 4(5 + -1x) Reorder the terms: 5x + -3(2 + x) = 4(5 + -1x) 5x + (2 * -3 + x * -3) = 4(5 + -1x) 5x + (-6 + -3x) = 4(5 + -1x) Reorder the terms: -6 + 5x + -3x = 4(5 + -1x) Combine like terms: 5x + -3x = 2x -6 + 2x = 4(5 + -1x) -6 + 2x = (5 * 4 + -1x * 4) -6 + 2x = (20 + -4x) Solving -6 + 2x = 20 + -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. -6 + 2x + 4x = 20 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 20 + -4x + 4x Combine like terms: -4x + 4x = 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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