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Simplifying 0.8x + -13 = 1.3x + -18 Reorder the terms: -13 + 0.8x = 1.3x + -18 Reorder the terms: -13 + 0.8x = -18 + 1.3x Solving -13 + 0.8x = -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. -13 + 0.8x + -1.3x = -18 + 1.3x + -1.3x Combine like terms: 0.8x + -1.3x = -0.5x -13 + -0.5x = -18 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -13 + -0.5x = -18 + 0.0 -13 + -0.5x = -18 Add '13' to each side of the equation. -13 + 13 + -0.5x = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -0.5x = -18 + 13 -0.5x = -18 + 13 Combine like terms: -18 + 13 = -5 -0.5x = -5 Divide each side by '-0.5'. x = 10 Simplifying x = 10
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