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Simplifying 0.5(x + -2) + 2.3x = 5x + -4 Reorder the terms: 0.5(-2 + x) + 2.3x = 5x + -4 (-2 * 0.5 + x * 0.5) + 2.3x = 5x + -4 (-1 + 0.5x) + 2.3x = 5x + -4 Combine like terms: 0.5x + 2.3x = 2.8x -1 + 2.8x = 5x + -4 Reorder the terms: -1 + 2.8x = -4 + 5x Solving -1 + 2.8x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 2.8x + -5x = -4 + 5x + -5x Combine like terms: 2.8x + -5x = -2.2x -1 + -2.2x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2.2x = -4 + 0 -1 + -2.2x = -4 Add '1' to each side of the equation. -1 + 1 + -2.2x = -4 + 1 Combine like terms: -1 + 1 = 0 0 + -2.2x = -4 + 1 -2.2x = -4 + 1 Combine like terms: -4 + 1 = -3 -2.2x = -3 Divide each side by '-2.2'. x = 1.363636364 Simplifying x = 1.363636364
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