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Simplifying 3.3(x + 5.7) + -7.3 = 8(x + 1) + -12 Reorder the terms: 3.3(5.7 + x) + -7.3 = 8(x + 1) + -12 (5.7 * 3.3 + x * 3.3) + -7.3 = 8(x + 1) + -12 (18.81 + 3.3x) + -7.3 = 8(x + 1) + -12 Reorder the terms: 18.81 + -7.3 + 3.3x = 8(x + 1) + -12 Combine like terms: 18.81 + -7.3 = 11.51 11.51 + 3.3x = 8(x + 1) + -12 Reorder the terms: 11.51 + 3.3x = 8(1 + x) + -12 11.51 + 3.3x = (1 * 8 + x * 8) + -12 11.51 + 3.3x = (8 + 8x) + -12 Reorder the terms: 11.51 + 3.3x = 8 + -12 + 8x Combine like terms: 8 + -12 = -4 11.51 + 3.3x = -4 + 8x Solving 11.51 + 3.3x = -4 + 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. 11.51 + 3.3x + -8x = -4 + 8x + -8x Combine like terms: 3.3x + -8x = -4.7x 11.51 + -4.7x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 11.51 + -4.7x = -4 + 0 11.51 + -4.7x = -4 Add '-11.51' to each side of the equation. 11.51 + -11.51 + -4.7x = -4 + -11.51 Combine like terms: 11.51 + -11.51 = 0.00 0.00 + -4.7x = -4 + -11.51 -4.7x = -4 + -11.51 Combine like terms: -4 + -11.51 = -15.51 -4.7x = -15.51 Divide each side by '-4.7'. x = 3.3 Simplifying x = 3.3
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