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Simplifying 5(2x + -3) = 0.5(4x + -10) Reorder the terms: 5(-3 + 2x) = 0.5(4x + -10) (-3 * 5 + 2x * 5) = 0.5(4x + -10) (-15 + 10x) = 0.5(4x + -10) Reorder the terms: -15 + 10x = 0.5(-10 + 4x) -15 + 10x = (-10 * 0.5 + 4x * 0.5) -15 + 10x = (-5 + 2x) Solving -15 + 10x = -5 + 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. -15 + 10x + -2x = -5 + 2x + -2x Combine like terms: 10x + -2x = 8x -15 + 8x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 8x = -5 + 0 -15 + 8x = -5 Add '15' to each side of the equation. -15 + 15 + 8x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -5 + 15 8x = -5 + 15 Combine like terms: -5 + 15 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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