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Simplifying 0.5(x + -4) + -3 = 3 + -1(2x + 3) Reorder the terms: 0.5(-4 + x) + -3 = 3 + -1(2x + 3) (-4 * 0.5 + x * 0.5) + -3 = 3 + -1(2x + 3) (-2 + 0.5x) + -3 = 3 + -1(2x + 3) Reorder the terms: -2 + -3 + 0.5x = 3 + -1(2x + 3) Combine like terms: -2 + -3 = -5 -5 + 0.5x = 3 + -1(2x + 3) Reorder the terms: -5 + 0.5x = 3 + -1(3 + 2x) -5 + 0.5x = 3 + (3 * -1 + 2x * -1) -5 + 0.5x = 3 + (-3 + -2x) Combine like terms: 3 + -3 = 0 -5 + 0.5x = 0 + -2x -5 + 0.5x = -2x Solving -5 + 0.5x = -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. -5 + 0.5x + 2x = -2x + 2x Combine like terms: 0.5x + 2x = 2.5x -5 + 2.5x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 2.5x = 0 Add '5' to each side of the equation. -5 + 5 + 2.5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2.5x = 0 + 5 2.5x = 0 + 5 Combine like terms: 0 + 5 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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