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Simplifying 49 + -1(8x + 12) = -26 + -32x Reorder the terms: 49 + -1(12 + 8x) = -26 + -32x 49 + (12 * -1 + 8x * -1) = -26 + -32x 49 + (-12 + -8x) = -26 + -32x Combine like terms: 49 + -12 = 37 37 + -8x = -26 + -32x Solving 37 + -8x = -26 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 37 + -8x + 32x = -26 + -32x + 32x Combine like terms: -8x + 32x = 24x 37 + 24x = -26 + -32x + 32x Combine like terms: -32x + 32x = 0 37 + 24x = -26 + 0 37 + 24x = -26 Add '-37' to each side of the equation. 37 + -37 + 24x = -26 + -37 Combine like terms: 37 + -37 = 0 0 + 24x = -26 + -37 24x = -26 + -37 Combine like terms: -26 + -37 = -63 24x = -63 Divide each side by '24'. x = -2.625 Simplifying x = -2.625
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