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Simplifying 8.8(x + 2) + -7 = 3(x + 3) + 5x Reorder the terms: 8.8(2 + x) + -7 = 3(x + 3) + 5x (2 * 8.8 + x * 8.8) + -7 = 3(x + 3) + 5x (17.6 + 8.8x) + -7 = 3(x + 3) + 5x Reorder the terms: 17.6 + -7 + 8.8x = 3(x + 3) + 5x Combine like terms: 17.6 + -7 = 10.6 10.6 + 8.8x = 3(x + 3) + 5x Reorder the terms: 10.6 + 8.8x = 3(3 + x) + 5x 10.6 + 8.8x = (3 * 3 + x * 3) + 5x 10.6 + 8.8x = (9 + 3x) + 5x Combine like terms: 3x + 5x = 8x 10.6 + 8.8x = 9 + 8x Solving 10.6 + 8.8x = 9 + 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. 10.6 + 8.8x + -8x = 9 + 8x + -8x Combine like terms: 8.8x + -8x = 0.8x 10.6 + 0.8x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 10.6 + 0.8x = 9 + 0 10.6 + 0.8x = 9 Add '-10.6' to each side of the equation. 10.6 + -10.6 + 0.8x = 9 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + 0.8x = 9 + -10.6 0.8x = 9 + -10.6 Combine like terms: 9 + -10.6 = -1.6 0.8x = -1.6 Divide each side by '0.8'. x = -2 Simplifying x = -2
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