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Simplifying 0.8(x + 15) = 0.6x + 12 Reorder the terms: 0.8(15 + x) = 0.6x + 12 (15 * 0.8 + x * 0.8) = 0.6x + 12 (12 + 0.8x) = 0.6x + 12 Reorder the terms: 12 + 0.8x = 12 + 0.6x Add '-12' to each side of the equation. 12 + -12 + 0.8x = 12 + -12 + 0.6x Combine like terms: 12 + -12 = 0 0 + 0.8x = 12 + -12 + 0.6x 0.8x = 12 + -12 + 0.6x Combine like terms: 12 + -12 = 0 0.8x = 0 + 0.6x 0.8x = 0.6x Solving 0.8x = 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.8x + -0.6x = 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x 0.2x = 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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