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Simplifying (x + 1) * 0.3 = (x + -2) * 0.2 Reorder the terms: (1 + x) * 0.3 = (x + -2) * 0.2 Reorder the terms for easier multiplication: 0.3(1 + x) = (x + -2) * 0.2 (1 * 0.3 + x * 0.3) = (x + -2) * 0.2 (0.3 + 0.3x) = (x + -2) * 0.2 Reorder the terms: 0.3 + 0.3x = (-2 + x) * 0.2 Reorder the terms for easier multiplication: 0.3 + 0.3x = 0.2(-2 + x) 0.3 + 0.3x = (-2 * 0.2 + x * 0.2) 0.3 + 0.3x = (-0.4 + 0.2x) Solving 0.3 + 0.3x = -0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.3 + 0.3x + -0.2x = -0.4 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 0.3 + 0.1x = -0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.3 + 0.1x = -0.4 + 0.0 0.3 + 0.1x = -0.4 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.1x = -0.4 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.1x = -0.4 + -0.3 0.1x = -0.4 + -0.3 Combine like terms: -0.4 + -0.3 = -0.7 0.1x = -0.7 Divide each side by '0.1'. x = -7 Simplifying x = -7
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