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Simplifying 0.6(5x + 10) = 1.7 + -1(x + 2) Reorder the terms: 0.6(10 + 5x) = 1.7 + -1(x + 2) (10 * 0.6 + 5x * 0.6) = 1.7 + -1(x + 2) (6 + 3x) = 1.7 + -1(x + 2) Reorder the terms: 6 + 3x = 1.7 + -1(2 + x) 6 + 3x = 1.7 + (2 * -1 + x * -1) 6 + 3x = 1.7 + (-2 + -1x) Combine like terms: 1.7 + -2 = -0.3 6 + 3x = -0.3 + -1x Solving 6 + 3x = -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. 6 + 3x + x = -0.3 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = -0.3 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = -0.3 + 0 6 + 4x = -0.3 Add '-6' to each side of the equation. 6 + -6 + 4x = -0.3 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -0.3 + -6 4x = -0.3 + -6 Combine like terms: -0.3 + -6 = -6.3 4x = -6.3 Divide each side by '4'. x = -1.575 Simplifying x = -1.575
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