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Simplifying 12.9x + 2(3x + -5) = 3 + -2.1(x + 7.2) Reorder the terms: 12.9x + 2(-5 + 3x) = 3 + -2.1(x + 7.2) 12.9x + (-5 * 2 + 3x * 2) = 3 + -2.1(x + 7.2) 12.9x + (-10 + 6x) = 3 + -2.1(x + 7.2) Reorder the terms: -10 + 12.9x + 6x = 3 + -2.1(x + 7.2) Combine like terms: 12.9x + 6x = 18.9x -10 + 18.9x = 3 + -2.1(x + 7.2) Reorder the terms: -10 + 18.9x = 3 + -2.1(7.2 + x) -10 + 18.9x = 3 + (7.2 * -2.1 + x * -2.1) -10 + 18.9x = 3 + (-15.12 + -2.1x) Combine like terms: 3 + -15.12 = -12.12 -10 + 18.9x = -12.12 + -2.1x Solving -10 + 18.9x = -12.12 + -2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1x' to each side of the equation. -10 + 18.9x + 2.1x = -12.12 + -2.1x + 2.1x Combine like terms: 18.9x + 2.1x = 21x -10 + 21x = -12.12 + -2.1x + 2.1x Combine like terms: -2.1x + 2.1x = 0.0 -10 + 21x = -12.12 + 0.0 -10 + 21x = -12.12 Add '10' to each side of the equation. -10 + 10 + 21x = -12.12 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = -12.12 + 10 21x = -12.12 + 10 Combine like terms: -12.12 + 10 = -2.12 21x = -2.12 Divide each side by '21'. x = -0.100952381 Simplifying x = -0.100952381
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