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Simplifying 5x + -4 = -3x + 20 + 2(x + -1) Reorder the terms: -4 + 5x = -3x + 20 + 2(x + -1) Reorder the terms: -4 + 5x = -3x + 20 + 2(-1 + x) -4 + 5x = -3x + 20 + (-1 * 2 + x * 2) -4 + 5x = -3x + 20 + (-2 + 2x) Reorder the terms: -4 + 5x = 20 + -2 + -3x + 2x Combine like terms: 20 + -2 = 18 -4 + 5x = 18 + -3x + 2x Combine like terms: -3x + 2x = -1x -4 + 5x = 18 + -1x Solving -4 + 5x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 5x + x = 18 + -1x + x Combine like terms: 5x + x = 6x -4 + 6x = 18 + -1x + x Combine like terms: -1x + x = 0 -4 + 6x = 18 + 0 -4 + 6x = 18 Add '4' to each side of the equation. -4 + 4 + 6x = 18 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 18 + 4 6x = 18 + 4 Combine like terms: 18 + 4 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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