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Simplifying 0.7 + 0.5(x + 2) = 0.3x + -1 Reorder the terms: 0.7 + 0.5(2 + x) = 0.3x + -1 0.7 + (2 * 0.5 + x * 0.5) = 0.3x + -1 0.7 + (1 + 0.5x) = 0.3x + -1 Combine like terms: 0.7 + 1 = 1.7 1.7 + 0.5x = 0.3x + -1 Reorder the terms: 1.7 + 0.5x = -1 + 0.3x Solving 1.7 + 0.5x = -1 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1.7 + 0.5x + -0.3x = -1 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 1.7 + 0.2x = -1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.7 + 0.2x = -1 + 0.0 1.7 + 0.2x = -1 Add '-1.7' to each side of the equation. 1.7 + -1.7 + 0.2x = -1 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + 0.2x = -1 + -1.7 0.2x = -1 + -1.7 Combine like terms: -1 + -1.7 = -2.7 0.2x = -2.7 Divide each side by '0.2'. x = -13.5 Simplifying x = -13.5
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