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Simplifying 3x * 0.5 = (2x + -7) * 0.2 Reorder the terms for easier multiplication: 3 * 0.5x = (2x + -7) * 0.2 Multiply 3 * 0.5 1.5x = (2x + -7) * 0.2 Reorder the terms: 1.5x = (-7 + 2x) * 0.2 Reorder the terms for easier multiplication: 1.5x = 0.2(-7 + 2x) 1.5x = (-7 * 0.2 + 2x * 0.2) 1.5x = (-1.4 + 0.4x) Solving 1.5x = -1.4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1.5x + -0.4x = -1.4 + 0.4x + -0.4x Combine like terms: 1.5x + -0.4x = 1.1x 1.1x = -1.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.1x = -1.4 + 0.0 1.1x = -1.4 Divide each side by '1.1'. x = -1.272727273 Simplifying x = -1.272727273
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