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Simplifying 0.5(-4 + 6x) = 0.3x + 0.6(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.3x + 0.6(x + 9) (-2 + 3x) = 0.3x + 0.6(x + 9) Reorder the terms: -2 + 3x = 0.3x + 0.6(9 + x) -2 + 3x = 0.3x + (9 * 0.6 + x * 0.6) -2 + 3x = 0.3x + (5.4 + 0.6x) Reorder the terms: -2 + 3x = 5.4 + 0.3x + 0.6x Combine like terms: 0.3x + 0.6x = 0.9x -2 + 3x = 5.4 + 0.9x Solving -2 + 3x = 5.4 + 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 + 3x + -0.9x = 5.4 + 0.9x + -0.9x Combine like terms: 3x + -0.9x = 2.1x -2 + 2.1x = 5.4 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -2 + 2.1x = 5.4 + 0.0 -2 + 2.1x = 5.4 Add '2' to each side of the equation. -2 + 2 + 2.1x = 5.4 + 2 Combine like terms: -2 + 2 = 0 0 + 2.1x = 5.4 + 2 2.1x = 5.4 + 2 Combine like terms: 5.4 + 2 = 7.4 2.1x = 7.4 Divide each side by '2.1'. x = 3.523809524 Simplifying x = 3.523809524
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