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Simplifying 2(2x + -1) + 3 = x + -3(x + 1) Reorder the terms: 2(-1 + 2x) + 3 = x + -3(x + 1) (-1 * 2 + 2x * 2) + 3 = x + -3(x + 1) (-2 + 4x) + 3 = x + -3(x + 1) Reorder the terms: -2 + 3 + 4x = x + -3(x + 1) Combine like terms: -2 + 3 = 1 1 + 4x = x + -3(x + 1) Reorder the terms: 1 + 4x = x + -3(1 + x) 1 + 4x = x + (1 * -3 + x * -3) 1 + 4x = x + (-3 + -3x) Reorder the terms: 1 + 4x = -3 + x + -3x Combine like terms: x + -3x = -2x 1 + 4x = -3 + -2x Solving 1 + 4x = -3 + -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. 1 + 4x + 2x = -3 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = -3 + 0 1 + 6x = -3 Add '-1' to each side of the equation. 1 + -1 + 6x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -3 + -1 6x = -3 + -1 Combine like terms: -3 + -1 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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