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Simplifying 0.9 + (8x + 16) = 1.7 + -1(x + 2) Reorder the terms: 0.9 + (16 + 8x) = 1.7 + -1(x + 2) Remove parenthesis around (16 + 8x) 0.9 + 16 + 8x = 1.7 + -1(x + 2) Combine like terms: 0.9 + 16 = 16.9 16.9 + 8x = 1.7 + -1(x + 2) Reorder the terms: 16.9 + 8x = 1.7 + -1(2 + x) 16.9 + 8x = 1.7 + (2 * -1 + x * -1) 16.9 + 8x = 1.7 + (-2 + -1x) Combine like terms: 1.7 + -2 = -0.3 16.9 + 8x = -0.3 + -1x Solving 16.9 + 8x = -0.3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 16.9 + 8x + x = -0.3 + -1x + x Combine like terms: 8x + x = 9x 16.9 + 9x = -0.3 + -1x + x Combine like terms: -1x + x = 0 16.9 + 9x = -0.3 + 0 16.9 + 9x = -0.3 Add '-16.9' to each side of the equation. 16.9 + -16.9 + 9x = -0.3 + -16.9 Combine like terms: 16.9 + -16.9 = 0.0 0.0 + 9x = -0.3 + -16.9 9x = -0.3 + -16.9 Combine like terms: -0.3 + -16.9 = -17.2 9x = -17.2 Divide each side by '9'. x = -1.911111111 Simplifying x = -1.911111111
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