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Simplifying 0.7x + -0.6(17 + -5x) = -0.3(x + -6) 0.7x + (17 * -0.6 + -5x * -0.6) = -0.3(x + -6) 0.7x + (-10.2 + 3x) = -0.3(x + -6) Reorder the terms: -10.2 + 0.7x + 3x = -0.3(x + -6) Combine like terms: 0.7x + 3x = 3.7x -10.2 + 3.7x = -0.3(x + -6) Reorder the terms: -10.2 + 3.7x = -0.3(-6 + x) -10.2 + 3.7x = (-6 * -0.3 + x * -0.3) -10.2 + 3.7x = (1.8 + -0.3x) Solving -10.2 + 3.7x = 1.8 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -10.2 + 3.7x + 0.3x = 1.8 + -0.3x + 0.3x Combine like terms: 3.7x + 0.3x = 4x -10.2 + 4x = 1.8 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -10.2 + 4x = 1.8 + 0.0 -10.2 + 4x = 1.8 Add '10.2' to each side of the equation. -10.2 + 10.2 + 4x = 1.8 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + 4x = 1.8 + 10.2 4x = 1.8 + 10.2 Combine like terms: 1.8 + 10.2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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