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Simplifying 14.0 + -2.4 = 1.5(x + 0.15 + -3.5 + 0.1) Combine like terms: 14.0 + -2.4 = 11.6 11.6 = 1.5(x + 0.15 + -3.5 + 0.1) Reorder the terms: 11.6 = 1.5(0.15 + -3.5 + 0.1 + x) Combine like terms: 0.15 + -3.5 = -3.35 11.6 = 1.5(-3.35 + 0.1 + x) Combine like terms: -3.35 + 0.1 = -3.25 11.6 = 1.5(-3.25 + x) 11.6 = (-3.25 * 1.5 + x * 1.5) 11.6 = (-4.875 + 1.5x) Solving 11.6 = -4.875 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 11.6 + -1.5x = -4.875 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 11.6 + -1.5x = -4.875 + 0.0 11.6 + -1.5x = -4.875 Add '-11.6' to each side of the equation. 11.6 + -11.6 + -1.5x = -4.875 + -11.6 Combine like terms: 11.6 + -11.6 = 0.0 0.0 + -1.5x = -4.875 + -11.6 -1.5x = -4.875 + -11.6 Combine like terms: -4.875 + -11.6 = -16.475 -1.5x = -16.475 Divide each side by '-1.5'. x = 10.98333333 Simplifying x = 10.98333333
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