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Simplifying 0.5(3x + -16) = 0.8(x + -3) Reorder the terms: 0.5(-16 + 3x) = 0.8(x + -3) (-16 * 0.5 + 3x * 0.5) = 0.8(x + -3) (-8 + 1.5x) = 0.8(x + -3) Reorder the terms: -8 + 1.5x = 0.8(-3 + x) -8 + 1.5x = (-3 * 0.8 + x * 0.8) -8 + 1.5x = (-2.4 + 0.8x) Solving -8 + 1.5x = -2.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -8 + 1.5x + -0.8x = -2.4 + 0.8x + -0.8x Combine like terms: 1.5x + -0.8x = 0.7x -8 + 0.7x = -2.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -8 + 0.7x = -2.4 + 0.0 -8 + 0.7x = -2.4 Add '8' to each side of the equation. -8 + 8 + 0.7x = -2.4 + 8 Combine like terms: -8 + 8 = 0 0 + 0.7x = -2.4 + 8 0.7x = -2.4 + 8 Combine like terms: -2.4 + 8 = 5.6 0.7x = 5.6 Divide each side by '0.7'. x = 8 Simplifying x = 8
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