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Simplifying -0.3x + -0.5(x + 16) = 0.8(x + 15) Reorder the terms: -0.3x + -0.5(16 + x) = 0.8(x + 15) -0.3x + (16 * -0.5 + x * -0.5) = 0.8(x + 15) -0.3x + (-8 + -0.5x) = 0.8(x + 15) Reorder the terms: -8 + -0.3x + -0.5x = 0.8(x + 15) Combine like terms: -0.3x + -0.5x = -0.8x -8 + -0.8x = 0.8(x + 15) Reorder the terms: -8 + -0.8x = 0.8(15 + x) -8 + -0.8x = (15 * 0.8 + x * 0.8) -8 + -0.8x = (12 + 0.8x) Solving -8 + -0.8x = 12 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -8 + -0.8x + -0.8x = 12 + 0.8x + -0.8x Combine like terms: -0.8x + -0.8x = -1.6x -8 + -1.6x = 12 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -8 + -1.6x = 12 + 0.0 -8 + -1.6x = 12 Add '8' to each side of the equation. -8 + 8 + -1.6x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1.6x = 12 + 8 -1.6x = 12 + 8 Combine like terms: 12 + 8 = 20 -1.6x = 20 Divide each side by '-1.6'. x = -12.5 Simplifying x = -12.5
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