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Simplifying 0.5(4x + 8) = 0.3(3x + -6) Reorder the terms: 0.5(8 + 4x) = 0.3(3x + -6) (8 * 0.5 + 4x * 0.5) = 0.3(3x + -6) (4 + 2x) = 0.3(3x + -6) Reorder the terms: 4 + 2x = 0.3(-6 + 3x) 4 + 2x = (-6 * 0.3 + 3x * 0.3) 4 + 2x = (-1.8 + 0.9x) Solving 4 + 2x = -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. 4 + 2x + -0.9x = -1.8 + 0.9x + -0.9x Combine like terms: 2x + -0.9x = 1.1x 4 + 1.1x = -1.8 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 4 + 1.1x = -1.8 + 0.0 4 + 1.1x = -1.8 Add '-4' to each side of the equation. 4 + -4 + 1.1x = -1.8 + -4 Combine like terms: 4 + -4 = 0 0 + 1.1x = -1.8 + -4 1.1x = -1.8 + -4 Combine like terms: -1.8 + -4 = -5.8 1.1x = -5.8 Divide each side by '1.1'. x = -5.272727273 Simplifying x = -5.272727273
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