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Simplifying 16.4(x + 2) + -16.2(x + 1) + 1 = 0 Reorder the terms: 16.4(2 + x) + -16.2(x + 1) + 1 = 0 (2 * 16.4 + x * 16.4) + -16.2(x + 1) + 1 = 0 (32.8 + 16.4x) + -16.2(x + 1) + 1 = 0 Reorder the terms: 32.8 + 16.4x + -16.2(1 + x) + 1 = 0 32.8 + 16.4x + (1 * -16.2 + x * -16.2) + 1 = 0 32.8 + 16.4x + (-16.2 + -16.2x) + 1 = 0 Reorder the terms: 32.8 + -16.2 + 1 + 16.4x + -16.2x = 0 Combine like terms: 32.8 + -16.2 = 16.6 16.6 + 1 + 16.4x + -16.2x = 0 Combine like terms: 16.6 + 1 = 17.6 17.6 + 16.4x + -16.2x = 0 Combine like terms: 16.4x + -16.2x = 0.2x 17.6 + 0.2x = 0 Solving 17.6 + 0.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17.6' to each side of the equation. 17.6 + -17.6 + 0.2x = 0 + -17.6 Combine like terms: 17.6 + -17.6 = 0.0 0.0 + 0.2x = 0 + -17.6 0.2x = 0 + -17.6 Combine like terms: 0 + -17.6 = -17.6 0.2x = -17.6 Divide each side by '0.2'. x = -88 Simplifying x = -88
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