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Simplifying 0.1(x + -2) + 0.7(x + 3) + -0.6x = 0 Reorder the terms: 0.1(-2 + x) + 0.7(x + 3) + -0.6x = 0 (-2 * 0.1 + x * 0.1) + 0.7(x + 3) + -0.6x = 0 (-0.2 + 0.1x) + 0.7(x + 3) + -0.6x = 0 Reorder the terms: -0.2 + 0.1x + 0.7(3 + x) + -0.6x = 0 -0.2 + 0.1x + (3 * 0.7 + x * 0.7) + -0.6x = 0 -0.2 + 0.1x + (2.1 + 0.7x) + -0.6x = 0 Reorder the terms: -0.2 + 2.1 + 0.1x + 0.7x + -0.6x = 0 Combine like terms: -0.2 + 2.1 = 1.9 1.9 + 0.1x + 0.7x + -0.6x = 0 Combine like terms: 0.1x + 0.7x = 0.8x 1.9 + 0.8x + -0.6x = 0 Combine like terms: 0.8x + -0.6x = 0.2x 1.9 + 0.2x = 0 Solving 1.9 + 0.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9' to each side of the equation. 1.9 + -1.9 + 0.2x = 0 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + 0.2x = 0 + -1.9 0.2x = 0 + -1.9 Combine like terms: 0 + -1.9 = -1.9 0.2x = -1.9 Divide each side by '0.2'. x = -9.5 Simplifying x = -9.5
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