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Simplifying 4(x + 2.1) + 7(x + -1.5) = 0 Reorder the terms: 4(2.1 + x) + 7(x + -1.5) = 0 (2.1 * 4 + x * 4) + 7(x + -1.5) = 0 (8.4 + 4x) + 7(x + -1.5) = 0 Reorder the terms: 8.4 + 4x + 7(-1.5 + x) = 0 8.4 + 4x + (-1.5 * 7 + x * 7) = 0 8.4 + 4x + (-10.5 + 7x) = 0 Reorder the terms: 8.4 + -10.5 + 4x + 7x = 0 Combine like terms: 8.4 + -10.5 = -2.1 -2.1 + 4x + 7x = 0 Combine like terms: 4x + 7x = 11x -2.1 + 11x = 0 Solving -2.1 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 11x = 0 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 11x = 0 + 2.1 11x = 0 + 2.1 Combine like terms: 0 + 2.1 = 2.1 11x = 2.1 Divide each side by '11'. x = 0.1909090909 Simplifying x = 0.1909090909
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