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Simplifying 3(x + 2(x + -2.1)) + -2(x + -3(x + -1.2)) = 0 Reorder the terms: 3(x + 2(-2.1 + x)) + -2(x + -3(x + -1.2)) = 0 3(x + (-2.1 * 2 + x * 2)) + -2(x + -3(x + -1.2)) = 0 3(x + (-4.2 + 2x)) + -2(x + -3(x + -1.2)) = 0 Reorder the terms: 3(-4.2 + x + 2x) + -2(x + -3(x + -1.2)) = 0 Combine like terms: x + 2x = 3x 3(-4.2 + 3x) + -2(x + -3(x + -1.2)) = 0 (-4.2 * 3 + 3x * 3) + -2(x + -3(x + -1.2)) = 0 (-12.6 + 9x) + -2(x + -3(x + -1.2)) = 0 Reorder the terms: -12.6 + 9x + -2(x + -3(-1.2 + x)) = 0 -12.6 + 9x + -2(x + (-1.2 * -3 + x * -3)) = 0 -12.6 + 9x + -2(x + (3.6 + -3x)) = 0 Reorder the terms: -12.6 + 9x + -2(3.6 + x + -3x) = 0 Combine like terms: x + -3x = -2x -12.6 + 9x + -2(3.6 + -2x) = 0 -12.6 + 9x + (3.6 * -2 + -2x * -2) = 0 -12.6 + 9x + (-7.2 + 4x) = 0 Reorder the terms: -12.6 + -7.2 + 9x + 4x = 0 Combine like terms: -12.6 + -7.2 = -19.8 -19.8 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x -19.8 + 13x = 0 Solving -19.8 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.8' to each side of the equation. -19.8 + 19.8 + 13x = 0 + 19.8 Combine like terms: -19.8 + 19.8 = 0.0 0.0 + 13x = 0 + 19.8 13x = 0 + 19.8 Combine like terms: 0 + 19.8 = 19.8 13x = 19.8 Divide each side by '13'. x = 1.523076923 Simplifying x = 1.523076923
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