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Simplifying 0.6(3x + -5) = 0.3(8x + 8) Reorder the terms: 0.6(-5 + 3x) = 0.3(8x + 8) (-5 * 0.6 + 3x * 0.6) = 0.3(8x + 8) (-3 + 1.8x) = 0.3(8x + 8) Reorder the terms: -3 + 1.8x = 0.3(8 + 8x) -3 + 1.8x = (8 * 0.3 + 8x * 0.3) -3 + 1.8x = (2.4 + 2.4x) Solving -3 + 1.8x = 2.4 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -3 + 1.8x + -2.4x = 2.4 + 2.4x + -2.4x Combine like terms: 1.8x + -2.4x = -0.6x -3 + -0.6x = 2.4 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -3 + -0.6x = 2.4 + 0.0 -3 + -0.6x = 2.4 Add '3' to each side of the equation. -3 + 3 + -0.6x = 2.4 + 3 Combine like terms: -3 + 3 = 0 0 + -0.6x = 2.4 + 3 -0.6x = 2.4 + 3 Combine like terms: 2.4 + 3 = 5.4 -0.6x = 5.4 Divide each side by '-0.6'. x = -9 Simplifying x = -9
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