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Simplifying 3(0.3x + 0.5) = 2(0.2x + -0.9) + 0.3 Reorder the terms: 3(0.5 + 0.3x) = 2(0.2x + -0.9) + 0.3 (0.5 * 3 + 0.3x * 3) = 2(0.2x + -0.9) + 0.3 (1.5 + 0.9x) = 2(0.2x + -0.9) + 0.3 Reorder the terms: 1.5 + 0.9x = 2(-0.9 + 0.2x) + 0.3 1.5 + 0.9x = (-0.9 * 2 + 0.2x * 2) + 0.3 1.5 + 0.9x = (-1.8 + 0.4x) + 0.3 Reorder the terms: 1.5 + 0.9x = -1.8 + 0.3 + 0.4x Combine like terms: -1.8 + 0.3 = -1.5 1.5 + 0.9x = -1.5 + 0.4x Solving 1.5 + 0.9x = -1.5 + 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. 1.5 + 0.9x + -0.4x = -1.5 + 0.4x + -0.4x Combine like terms: 0.9x + -0.4x = 0.5x 1.5 + 0.5x = -1.5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.5 + 0.5x = -1.5 + 0.0 1.5 + 0.5x = -1.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = -1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = -1.5 + -1.5 0.5x = -1.5 + -1.5 Combine like terms: -1.5 + -1.5 = -3 0.5x = -3 Divide each side by '0.5'. x = -6 Simplifying x = -6
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