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Simplifying -0.8(x + 10) = -1.3(x + 12) Reorder the terms: -0.8(10 + x) = -1.3(x + 12) (10 * -0.8 + x * -0.8) = -1.3(x + 12) (-8 + -0.8x) = -1.3(x + 12) Reorder the terms: -8 + -0.8x = -1.3(12 + x) -8 + -0.8x = (12 * -1.3 + x * -1.3) -8 + -0.8x = (-15.6 + -1.3x) Solving -8 + -0.8x = -15.6 + -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. -8 + -0.8x + 1.3x = -15.6 + -1.3x + 1.3x Combine like terms: -0.8x + 1.3x = 0.5x -8 + 0.5x = -15.6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 -8 + 0.5x = -15.6 + 0.0 -8 + 0.5x = -15.6 Add '8' to each side of the equation. -8 + 8 + 0.5x = -15.6 + 8 Combine like terms: -8 + 8 = 0 0 + 0.5x = -15.6 + 8 0.5x = -15.6 + 8 Combine like terms: -15.6 + 8 = -7.6 0.5x = -7.6 Divide each side by '0.5'. x = -15.2 Simplifying x = -15.2
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