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Simplifying 0.5x + -12(x + -7) = 0.1(x + -4) Reorder the terms: 0.5x + -12(-7 + x) = 0.1(x + -4) 0.5x + (-7 * -12 + x * -12) = 0.1(x + -4) 0.5x + (84 + -12x) = 0.1(x + -4) Reorder the terms: 84 + 0.5x + -12x = 0.1(x + -4) Combine like terms: 0.5x + -12x = -11.5x 84 + -11.5x = 0.1(x + -4) Reorder the terms: 84 + -11.5x = 0.1(-4 + x) 84 + -11.5x = (-4 * 0.1 + x * 0.1) 84 + -11.5x = (-0.4 + 0.1x) Solving 84 + -11.5x = -0.4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 84 + -11.5x + -0.1x = -0.4 + 0.1x + -0.1x Combine like terms: -11.5x + -0.1x = -11.6x 84 + -11.6x = -0.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 84 + -11.6x = -0.4 + 0.0 84 + -11.6x = -0.4 Add '-84' to each side of the equation. 84 + -84 + -11.6x = -0.4 + -84 Combine like terms: 84 + -84 = 0 0 + -11.6x = -0.4 + -84 -11.6x = -0.4 + -84 Combine like terms: -0.4 + -84 = -84.4 -11.6x = -84.4 Divide each side by '-11.6'. x = 7.275862069 Simplifying x = 7.275862069
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