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Simplifying 5(1.3x + -5) = 4(0.5x + -3) Reorder the terms: 5(-5 + 1.3x) = 4(0.5x + -3) (-5 * 5 + 1.3x * 5) = 4(0.5x + -3) (-25 + 6.5x) = 4(0.5x + -3) Reorder the terms: -25 + 6.5x = 4(-3 + 0.5x) -25 + 6.5x = (-3 * 4 + 0.5x * 4) -25 + 6.5x = (-12 + 2x) Solving -25 + 6.5x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + 6.5x + -2x = -12 + 2x + -2x Combine like terms: 6.5x + -2x = 4.5x -25 + 4.5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 4.5x = -12 + 0 -25 + 4.5x = -12 Add '25' to each side of the equation. -25 + 25 + 4.5x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + 4.5x = -12 + 25 4.5x = -12 + 25 Combine like terms: -12 + 25 = 13 4.5x = 13 Divide each side by '4.5'. x = 2.888888889 Simplifying x = 2.888888889
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