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Simplifying 0.5(x + 4) = 0.3(3x + -6) Reorder the terms: 0.5(4 + x) = 0.3(3x + -6) (4 * 0.5 + x * 0.5) = 0.3(3x + -6) (2 + 0.5x) = 0.3(3x + -6) Reorder the terms: 2 + 0.5x = 0.3(-6 + 3x) 2 + 0.5x = (-6 * 0.3 + 3x * 0.3) 2 + 0.5x = (-1.8 + 0.9x) Solving 2 + 0.5x = -1.8 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 2 + 0.5x + -0.9x = -1.8 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 2 + -0.4x = -1.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 2 + -0.4x = -1.8 + 0.0 2 + -0.4x = -1.8 Add '-2' to each side of the equation. 2 + -2 + -0.4x = -1.8 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4x = -1.8 + -2 -0.4x = -1.8 + -2 Combine like terms: -1.8 + -2 = -3.8 -0.4x = -3.8 Divide each side by '-0.4'. x = 9.5 Simplifying x = 9.5
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