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Simplifying x + 0.7 = 0.5(3x + -2.3) Reorder the terms: 0.7 + x = 0.5(3x + -2.3) Reorder the terms: 0.7 + x = 0.5(-2.3 + 3x) 0.7 + x = (-2.3 * 0.5 + 3x * 0.5) 0.7 + x = (-1.15 + 1.5x) Solving 0.7 + x = -1.15 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 0.7 + x + -1.5x = -1.15 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 0.7 + -0.5x = -1.15 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 0.7 + -0.5x = -1.15 + 0.0 0.7 + -0.5x = -1.15 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.5x = -1.15 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.5x = -1.15 + -0.7 -0.5x = -1.15 + -0.7 Combine like terms: -1.15 + -0.7 = -1.85 -0.5x = -1.85 Divide each side by '-0.5'. x = 3.7 Simplifying x = 3.7
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