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