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Simplifying 0.5(x + 4) + -3 = 4.5(x + -2) Reorder the terms: 0.5(4 + x) + -3 = 4.5(x + -2) (4 * 0.5 + x * 0.5) + -3 = 4.5(x + -2) (2 + 0.5x) + -3 = 4.5(x + -2) Reorder the terms: 2 + -3 + 0.5x = 4.5(x + -2) Combine like terms: 2 + -3 = -1 -1 + 0.5x = 4.5(x + -2) Reorder the terms: -1 + 0.5x = 4.5(-2 + x) -1 + 0.5x = (-2 * 4.5 + x * 4.5) -1 + 0.5x = (-9 + 4.5x) Solving -1 + 0.5x = -9 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -1 + 0.5x + -4.5x = -9 + 4.5x + -4.5x Combine like terms: 0.5x + -4.5x = -4x -1 + -4x = -9 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -1 + -4x = -9 + 0.0 -1 + -4x = -9 Add '1' to each side of the equation. -1 + 1 + -4x = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -9 + 1 -4x = -9 + 1 Combine like terms: -9 + 1 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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