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Simplifying 0.3(6x + -3) = 6(2 + x) + -5x Reorder the terms: 0.3(-3 + 6x) = 6(2 + x) + -5x (-3 * 0.3 + 6x * 0.3) = 6(2 + x) + -5x (-0.9 + 1.8x) = 6(2 + x) + -5x -0.9 + 1.8x = (2 * 6 + x * 6) + -5x -0.9 + 1.8x = (12 + 6x) + -5x Combine like terms: 6x + -5x = 1x -0.9 + 1.8x = 12 + 1x Solving -0.9 + 1.8x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.9 + 1.8x + -1x = 12 + 1x + -1x Combine like terms: 1.8x + -1x = 0.8x -0.9 + 0.8x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.9 + 0.8x = 12 + 0 -0.9 + 0.8x = 12 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.8x = 12 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.8x = 12 + 0.9 0.8x = 12 + 0.9 Combine like terms: 12 + 0.9 = 12.9 0.8x = 12.9 Divide each side by '0.8'. x = 16.125 Simplifying x = 16.125
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