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Simplifying 2(x + -2) + 3 = -3(2x + 1) Reorder the terms: 2(-2 + x) + 3 = -3(2x + 1) (-2 * 2 + x * 2) + 3 = -3(2x + 1) (-4 + 2x) + 3 = -3(2x + 1) Reorder the terms: -4 + 3 + 2x = -3(2x + 1) Combine like terms: -4 + 3 = -1 -1 + 2x = -3(2x + 1) Reorder the terms: -1 + 2x = -3(1 + 2x) -1 + 2x = (1 * -3 + 2x * -3) -1 + 2x = (-3 + -6x) Solving -1 + 2x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + 2x + 6x = -3 + -6x + 6x Combine like terms: 2x + 6x = 8x -1 + 8x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 8x = -3 + 0 -1 + 8x = -3 Add '1' to each side of the equation. -1 + 1 + 8x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -3 + 1 8x = -3 + 1 Combine like terms: -3 + 1 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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