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Simplifying 4(x + -2) = -3(2x + 1) Reorder the terms: 4(-2 + x) = -3(2x + 1) (-2 * 4 + x * 4) = -3(2x + 1) (-8 + 4x) = -3(2x + 1) Reorder the terms: -8 + 4x = -3(1 + 2x) -8 + 4x = (1 * -3 + 2x * -3) -8 + 4x = (-3 + -6x) Solving -8 + 4x = -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. -8 + 4x + 6x = -3 + -6x + 6x Combine like terms: 4x + 6x = 10x -8 + 10x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = -3 + 0 -8 + 10x = -3 Add '8' to each side of the equation. -8 + 8 + 10x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -3 + 8 10x = -3 + 8 Combine like terms: -3 + 8 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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