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Simplifying 7 + -3(2x + 6) + 2(5 + -2x) = 0 Reorder the terms: 7 + -3(6 + 2x) + 2(5 + -2x) = 0 7 + (6 * -3 + 2x * -3) + 2(5 + -2x) = 0 7 + (-18 + -6x) + 2(5 + -2x) = 0 7 + -18 + -6x + (5 * 2 + -2x * 2) = 0 7 + -18 + -6x + (10 + -4x) = 0 Reorder the terms: 7 + -18 + 10 + -6x + -4x = 0 Combine like terms: 7 + -18 = -11 -11 + 10 + -6x + -4x = 0 Combine like terms: -11 + 10 = -1 -1 + -6x + -4x = 0 Combine like terms: -6x + -4x = -10x -1 + -10x = 0 Solving -1 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 0 + 1 -10x = 0 + 1 Combine like terms: 0 + 1 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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