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Simplifying 0.6x + -0.02(16 + -2x) = -0.8(x + -5) 0.6x + (16 * -0.02 + -2x * -0.02) = -0.8(x + -5) 0.6x + (-0.32 + 0.04x) = -0.8(x + -5) Reorder the terms: -0.32 + 0.6x + 0.04x = -0.8(x + -5) Combine like terms: 0.6x + 0.04x = 0.64x -0.32 + 0.64x = -0.8(x + -5) Reorder the terms: -0.32 + 0.64x = -0.8(-5 + x) -0.32 + 0.64x = (-5 * -0.8 + x * -0.8) -0.32 + 0.64x = (4 + -0.8x) Solving -0.32 + 0.64x = 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. -0.32 + 0.64x + 0.8x = 4 + -0.8x + 0.8x Combine like terms: 0.64x + 0.8x = 1.44x -0.32 + 1.44x = 4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -0.32 + 1.44x = 4 + 0.0 -0.32 + 1.44x = 4 Add '0.32' to each side of the equation. -0.32 + 0.32 + 1.44x = 4 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 1.44x = 4 + 0.32 1.44x = 4 + 0.32 Combine like terms: 4 + 0.32 = 4.32 1.44x = 4.32 Divide each side by '1.44'. x = 3 Simplifying x = 3
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