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Simplifying 0.5x + -14 = 1.3x + -18 Reorder the terms: -14 + 0.5x = 1.3x + -18 Reorder the terms: -14 + 0.5x = -18 + 1.3x Solving -14 + 0.5x = -18 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -14 + 0.5x + -1.3x = -18 + 1.3x + -1.3x Combine like terms: 0.5x + -1.3x = -0.8x -14 + -0.8x = -18 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -14 + -0.8x = -18 + 0.0 -14 + -0.8x = -18 Add '14' to each side of the equation. -14 + 14 + -0.8x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -0.8x = -18 + 14 -0.8x = -18 + 14 Combine like terms: -18 + 14 = -4 -0.8x = -4 Divide each side by '-0.8'. x = 5 Simplifying x = 5
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