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Simplifying 4.2 + -3 = 0.5(8.4x + 6) Combine like terms: 4.2 + -3 = 1.2 1.2 = 0.5(8.4x + 6) Reorder the terms: 1.2 = 0.5(6 + 8.4x) 1.2 = (6 * 0.5 + 8.4x * 0.5) 1.2 = (3 + 4.2x) Solving 1.2 = 3 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. 1.2 + -4.2x = 3 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 1.2 + -4.2x = 3 + 0.0 1.2 + -4.2x = 3 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -4.2x = 3 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -4.2x = 3 + -1.2 -4.2x = 3 + -1.2 Combine like terms: 3 + -1.2 = 1.8 -4.2x = 1.8 Divide each side by '-4.2'. x = -0.4285714286 Simplifying x = -0.4285714286
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