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Simplifying 2(x + -1) + 3x = 4x + -5(x + 2) Reorder the terms: 2(-1 + x) + 3x = 4x + -5(x + 2) (-1 * 2 + x * 2) + 3x = 4x + -5(x + 2) (-2 + 2x) + 3x = 4x + -5(x + 2) Combine like terms: 2x + 3x = 5x -2 + 5x = 4x + -5(x + 2) Reorder the terms: -2 + 5x = 4x + -5(2 + x) -2 + 5x = 4x + (2 * -5 + x * -5) -2 + 5x = 4x + (-10 + -5x) Reorder the terms: -2 + 5x = -10 + 4x + -5x Combine like terms: 4x + -5x = -1x -2 + 5x = -10 + -1x Solving -2 + 5x = -10 + -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. -2 + 5x + x = -10 + -1x + x Combine like terms: 5x + x = 6x -2 + 6x = -10 + -1x + x Combine like terms: -1x + x = 0 -2 + 6x = -10 + 0 -2 + 6x = -10 Add '2' to each side of the equation. -2 + 2 + 6x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -10 + 2 6x = -10 + 2 Combine like terms: -10 + 2 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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