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Simplifying 0.5(6x + 12) = 1.4(x + 2) Reorder the terms: 0.5(12 + 6x) = 1.4(x + 2) (12 * 0.5 + 6x * 0.5) = 1.4(x + 2) (6 + 3x) = 1.4(x + 2) Reorder the terms: 6 + 3x = 1.4(2 + x) 6 + 3x = (2 * 1.4 + x * 1.4) 6 + 3x = (2.8 + 1.4x) Solving 6 + 3x = 2.8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 6 + 3x + -1.4x = 2.8 + 1.4x + -1.4x Combine like terms: 3x + -1.4x = 1.6x 6 + 1.6x = 2.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 6 + 1.6x = 2.8 + 0.0 6 + 1.6x = 2.8 Add '-6' to each side of the equation. 6 + -6 + 1.6x = 2.8 + -6 Combine like terms: 6 + -6 = 0 0 + 1.6x = 2.8 + -6 1.6x = 2.8 + -6 Combine like terms: 2.8 + -6 = -3.2 1.6x = -3.2 Divide each side by '1.6'. x = -2 Simplifying x = -2
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