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Simplifying -0.6(x + -9) = 1.9(x + 17) Reorder the terms: -0.6(-9 + x) = 1.9(x + 17) (-9 * -0.6 + x * -0.6) = 1.9(x + 17) (5.4 + -0.6x) = 1.9(x + 17) Reorder the terms: 5.4 + -0.6x = 1.9(17 + x) 5.4 + -0.6x = (17 * 1.9 + x * 1.9) 5.4 + -0.6x = (32.3 + 1.9x) Solving 5.4 + -0.6x = 32.3 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. 5.4 + -0.6x + -1.9x = 32.3 + 1.9x + -1.9x Combine like terms: -0.6x + -1.9x = -2.5x 5.4 + -2.5x = 32.3 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 5.4 + -2.5x = 32.3 + 0.0 5.4 + -2.5x = 32.3 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -2.5x = 32.3 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -2.5x = 32.3 + -5.4 -2.5x = 32.3 + -5.4 Combine like terms: 32.3 + -5.4 = 26.9 -2.5x = 26.9 Divide each side by '-2.5'. x = -10.76 Simplifying x = -10.76
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