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Simplifying 0.6x + -1.4(x + -8) = 0.5(x + -1) Reorder the terms: 0.6x + -1.4(-8 + x) = 0.5(x + -1) 0.6x + (-8 * -1.4 + x * -1.4) = 0.5(x + -1) 0.6x + (11.2 + -1.4x) = 0.5(x + -1) Reorder the terms: 11.2 + 0.6x + -1.4x = 0.5(x + -1) Combine like terms: 0.6x + -1.4x = -0.8x 11.2 + -0.8x = 0.5(x + -1) Reorder the terms: 11.2 + -0.8x = 0.5(-1 + x) 11.2 + -0.8x = (-1 * 0.5 + x * 0.5) 11.2 + -0.8x = (-0.5 + 0.5x) Solving 11.2 + -0.8x = -0.5 + 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. 11.2 + -0.8x + -0.5x = -0.5 + 0.5x + -0.5x Combine like terms: -0.8x + -0.5x = -1.3x 11.2 + -1.3x = -0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 11.2 + -1.3x = -0.5 + 0.0 11.2 + -1.3x = -0.5 Add '-11.2' to each side of the equation. 11.2 + -11.2 + -1.3x = -0.5 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + -1.3x = -0.5 + -11.2 -1.3x = -0.5 + -11.2 Combine like terms: -0.5 + -11.2 = -11.7 -1.3x = -11.7 Divide each side by '-1.3'. x = 9 Simplifying x = 9
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