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Simplifying 12.9x + 2(3x + -5) = 3 + -2(x + 7.2) Reorder the terms: 12.9x + 2(-5 + 3x) = 3 + -2(x + 7.2) 12.9x + (-5 * 2 + 3x * 2) = 3 + -2(x + 7.2) 12.9x + (-10 + 6x) = 3 + -2(x + 7.2) Reorder the terms: -10 + 12.9x + 6x = 3 + -2(x + 7.2) Combine like terms: 12.9x + 6x = 18.9x -10 + 18.9x = 3 + -2(x + 7.2) Reorder the terms: -10 + 18.9x = 3 + -2(7.2 + x) -10 + 18.9x = 3 + (7.2 * -2 + x * -2) -10 + 18.9x = 3 + (-14.4 + -2x) Combine like terms: 3 + -14.4 = -11.4 -10 + 18.9x = -11.4 + -2x Solving -10 + 18.9x = -11.4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 18.9x + 2x = -11.4 + -2x + 2x Combine like terms: 18.9x + 2x = 20.9x -10 + 20.9x = -11.4 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 20.9x = -11.4 + 0 -10 + 20.9x = -11.4 Add '10' to each side of the equation. -10 + 10 + 20.9x = -11.4 + 10 Combine like terms: -10 + 10 = 0 0 + 20.9x = -11.4 + 10 20.9x = -11.4 + 10 Combine like terms: -11.4 + 10 = -1.4 20.9x = -1.4 Divide each side by '20.9'. x = -0.06698564593 Simplifying x = -0.06698564593
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