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Simplifying -0.6(4x + -0.5) + -0.8 = 0.5(5x + -18.6) Reorder the terms: -0.6(-0.5 + 4x) + -0.8 = 0.5(5x + -18.6) (-0.5 * -0.6 + 4x * -0.6) + -0.8 = 0.5(5x + -18.6) (0.3 + -2.4x) + -0.8 = 0.5(5x + -18.6) Reorder the terms: 0.3 + -0.8 + -2.4x = 0.5(5x + -18.6) Combine like terms: 0.3 + -0.8 = -0.5 -0.5 + -2.4x = 0.5(5x + -18.6) Reorder the terms: -0.5 + -2.4x = 0.5(-18.6 + 5x) -0.5 + -2.4x = (-18.6 * 0.5 + 5x * 0.5) -0.5 + -2.4x = (-9.3 + 2.5x) Solving -0.5 + -2.4x = -9.3 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -0.5 + -2.4x + -2.5x = -9.3 + 2.5x + -2.5x Combine like terms: -2.4x + -2.5x = -4.9x -0.5 + -4.9x = -9.3 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -0.5 + -4.9x = -9.3 + 0.0 -0.5 + -4.9x = -9.3 Add '0.5' to each side of the equation. -0.5 + 0.5 + -4.9x = -9.3 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -4.9x = -9.3 + 0.5 -4.9x = -9.3 + 0.5 Combine like terms: -9.3 + 0.5 = -8.8 -4.9x = -8.8 Divide each side by '-4.9'. x = 1.795918367 Simplifying x = 1.795918367
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