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Simplifying 2(8 + -4x) = 0.3(33 + -18x) + 3 (8 * 2 + -4x * 2) = 0.3(33 + -18x) + 3 (16 + -8x) = 0.3(33 + -18x) + 3 16 + -8x = (33 * 0.3 + -18x * 0.3) + 3 16 + -8x = (9.9 + -5.4x) + 3 Reorder the terms: 16 + -8x = 9.9 + 3 + -5.4x Combine like terms: 9.9 + 3 = 12.9 16 + -8x = 12.9 + -5.4x Solving 16 + -8x = 12.9 + -5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4x' to each side of the equation. 16 + -8x + 5.4x = 12.9 + -5.4x + 5.4x Combine like terms: -8x + 5.4x = -2.6x 16 + -2.6x = 12.9 + -5.4x + 5.4x Combine like terms: -5.4x + 5.4x = 0.0 16 + -2.6x = 12.9 + 0.0 16 + -2.6x = 12.9 Add '-16' to each side of the equation. 16 + -16 + -2.6x = 12.9 + -16 Combine like terms: 16 + -16 = 0 0 + -2.6x = 12.9 + -16 -2.6x = 12.9 + -16 Combine like terms: 12.9 + -16 = -3.1 -2.6x = -3.1 Divide each side by '-2.6'. x = 1.192307692 Simplifying x = 1.192307692
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