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Simplifying 0.3333(4x + 5) + -0.555(8x + -4) = 20 Reorder the terms: 0.3333(5 + 4x) + -0.555(8x + -4) = 20 (5 * 0.3333 + 4x * 0.3333) + -0.555(8x + -4) = 20 (1.6665 + 1.3332x) + -0.555(8x + -4) = 20 Reorder the terms: 1.6665 + 1.3332x + -0.555(-4 + 8x) = 20 1.6665 + 1.3332x + (-4 * -0.555 + 8x * -0.555) = 20 1.6665 + 1.3332x + (2.22 + -4.44x) = 20 Reorder the terms: 1.6665 + 2.22 + 1.3332x + -4.44x = 20 Combine like terms: 1.6665 + 2.22 = 3.8865 3.8865 + 1.3332x + -4.44x = 20 Combine like terms: 1.3332x + -4.44x = -3.1068x 3.8865 + -3.1068x = 20 Solving 3.8865 + -3.1068x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8865' to each side of the equation. 3.8865 + -3.8865 + -3.1068x = 20 + -3.8865 Combine like terms: 3.8865 + -3.8865 = 0.0000 0.0000 + -3.1068x = 20 + -3.8865 -3.1068x = 20 + -3.8865 Combine like terms: 20 + -3.8865 = 16.1135 -3.1068x = 16.1135 Divide each side by '-3.1068'. x = -5.186526329 Simplifying x = -5.186526329
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