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Simplifying 0.5x + -0.3(x + -2) = 3x Reorder the terms: 0.5x + -0.3(-2 + x) = 3x 0.5x + (-2 * -0.3 + x * -0.3) = 3x 0.5x + (0.6 + -0.3x) = 3x Reorder the terms: 0.6 + 0.5x + -0.3x = 3x Combine like terms: 0.5x + -0.3x = 0.2x 0.6 + 0.2x = 3x Solving 0.6 + 0.2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.6 + 0.2x + -3x = 3x + -3x Combine like terms: 0.2x + -3x = -2.8x 0.6 + -2.8x = 3x + -3x Combine like terms: 3x + -3x = 0 0.6 + -2.8x = 0 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -2.8x = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -2.8x = 0 + -0.6 -2.8x = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -2.8x = -0.6 Divide each side by '-2.8'. x = 0.2142857143 Simplifying x = 0.2142857143
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