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Simplifying 0.5(x + -8) + 10 = 0.6(x + -15) + 9 Reorder the terms: 0.5(-8 + x) + 10 = 0.6(x + -15) + 9 (-8 * 0.5 + x * 0.5) + 10 = 0.6(x + -15) + 9 (-4 + 0.5x) + 10 = 0.6(x + -15) + 9 Reorder the terms: -4 + 10 + 0.5x = 0.6(x + -15) + 9 Combine like terms: -4 + 10 = 6 6 + 0.5x = 0.6(x + -15) + 9 Reorder the terms: 6 + 0.5x = 0.6(-15 + x) + 9 6 + 0.5x = (-15 * 0.6 + x * 0.6) + 9 6 + 0.5x = (-9 + 0.6x) + 9 Reorder the terms: 6 + 0.5x = -9 + 9 + 0.6x Combine like terms: -9 + 9 = 0 6 + 0.5x = 0 + 0.6x 6 + 0.5x = 0.6x Solving 6 + 0.5x = 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. 6 + 0.5x + -0.6x = 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 6 + -0.1x = 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 6 + -0.1x = 0.0 Add '-6' to each side of the equation. 6 + -6 + -0.1x = 0.0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.1x = 0.0 + -6 -0.1x = 0.0 + -6 Combine like terms: 0.0 + -6 = -6 -0.1x = -6 Divide each side by '-0.1'. x = 60 Simplifying x = 60
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