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Simplifying 4.2x + -3 = 0.5(8.5x + 6) Reorder the terms: -3 + 4.2x = 0.5(8.5x + 6) Reorder the terms: -3 + 4.2x = 0.5(6 + 8.5x) -3 + 4.2x = (6 * 0.5 + 8.5x * 0.5) -3 + 4.2x = (3 + 4.25x) Solving -3 + 4.2x = 3 + 4.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25x' to each side of the equation. -3 + 4.2x + -4.25x = 3 + 4.25x + -4.25x Combine like terms: 4.2x + -4.25x = -0.05x -3 + -0.05x = 3 + 4.25x + -4.25x Combine like terms: 4.25x + -4.25x = 0.00 -3 + -0.05x = 3 + 0.00 -3 + -0.05x = 3 Add '3' to each side of the equation. -3 + 3 + -0.05x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -0.05x = 3 + 3 -0.05x = 3 + 3 Combine like terms: 3 + 3 = 6 -0.05x = 6 Divide each side by '-0.05'. x = -120 Simplifying x = -120
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