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Simplifying 2(1.2x + 4) = 4(1.6x + 1) + 1 Reorder the terms: 2(4 + 1.2x) = 4(1.6x + 1) + 1 (4 * 2 + 1.2x * 2) = 4(1.6x + 1) + 1 (8 + 2.4x) = 4(1.6x + 1) + 1 Reorder the terms: 8 + 2.4x = 4(1 + 1.6x) + 1 8 + 2.4x = (1 * 4 + 1.6x * 4) + 1 8 + 2.4x = (4 + 6.4x) + 1 Reorder the terms: 8 + 2.4x = 4 + 1 + 6.4x Combine like terms: 4 + 1 = 5 8 + 2.4x = 5 + 6.4x Solving 8 + 2.4x = 5 + 6.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4x' to each side of the equation. 8 + 2.4x + -6.4x = 5 + 6.4x + -6.4x Combine like terms: 2.4x + -6.4x = -4x 8 + -4x = 5 + 6.4x + -6.4x Combine like terms: 6.4x + -6.4x = 0.0 8 + -4x = 5 + 0.0 8 + -4x = 5 Add '-8' to each side of the equation. 8 + -8 + -4x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 5 + -8 -4x = 5 + -8 Combine like terms: 5 + -8 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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