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Simplifying -4(-2x + -7) + 6x + -7 + -2(3x + -2) + 3(-2x + -2) = 0 Reorder the terms: -4(-7 + -2x) + 6x + -7 + -2(3x + -2) + 3(-2x + -2) = 0 (-7 * -4 + -2x * -4) + 6x + -7 + -2(3x + -2) + 3(-2x + -2) = 0 (28 + 8x) + 6x + -7 + -2(3x + -2) + 3(-2x + -2) = 0 Reorder the terms: 28 + 8x + 6x + -7 + -2(-2 + 3x) + 3(-2x + -2) = 0 28 + 8x + 6x + -7 + (-2 * -2 + 3x * -2) + 3(-2x + -2) = 0 28 + 8x + 6x + -7 + (4 + -6x) + 3(-2x + -2) = 0 Reorder the terms: 28 + 8x + 6x + -7 + 4 + -6x + 3(-2 + -2x) = 0 28 + 8x + 6x + -7 + 4 + -6x + (-2 * 3 + -2x * 3) = 0 28 + 8x + 6x + -7 + 4 + -6x + (-6 + -6x) = 0 Reorder the terms: 28 + -7 + 4 + -6 + 8x + 6x + -6x + -6x = 0 Combine like terms: 28 + -7 = 21 21 + 4 + -6 + 8x + 6x + -6x + -6x = 0 Combine like terms: 21 + 4 = 25 25 + -6 + 8x + 6x + -6x + -6x = 0 Combine like terms: 25 + -6 = 19 19 + 8x + 6x + -6x + -6x = 0 Combine like terms: 8x + 6x = 14x 19 + 14x + -6x + -6x = 0 Combine like terms: 14x + -6x = 8x 19 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x 19 + 2x = 0 Solving 19 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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