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Simplifying 0.7x + -0.1(15 + -3x) = 0.5(x + -6) 0.7x + (15 * -0.1 + -3x * -0.1) = 0.5(x + -6) 0.7x + (-1.5 + 0.3x) = 0.5(x + -6) Reorder the terms: -1.5 + 0.7x + 0.3x = 0.5(x + -6) Combine like terms: 0.7x + 0.3x = 1x -1.5 + 1x = 0.5(x + -6) Reorder the terms: -1.5 + 1x = 0.5(-6 + x) -1.5 + 1x = (-6 * 0.5 + x * 0.5) -1.5 + 1x = (-3 + 0.5x) Solving -1.5 + 1x = -3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.5 + 1x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 1x + -0.5x = 0.5x -1.5 + 0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + 0.5x = -3 + 0.0 -1.5 + 0.5x = -3 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5x = -3 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5x = -3 + 1.5 0.5x = -3 + 1.5 Combine like terms: -3 + 1.5 = -1.5 0.5x = -1.5 Divide each side by '0.5'. x = -3 Simplifying x = -3
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