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Simplifying 37 = 8(1 + -3x) + -5(8x + 7) 37 = (1 * 8 + -3x * 8) + -5(8x + 7) 37 = (8 + -24x) + -5(8x + 7) Reorder the terms: 37 = 8 + -24x + -5(7 + 8x) 37 = 8 + -24x + (7 * -5 + 8x * -5) 37 = 8 + -24x + (-35 + -40x) Reorder the terms: 37 = 8 + -35 + -24x + -40x Combine like terms: 8 + -35 = -27 37 = -27 + -24x + -40x Combine like terms: -24x + -40x = -64x 37 = -27 + -64x Solving 37 = -27 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 37 + 64x = -27 + -64x + 64x Combine like terms: -64x + 64x = 0 37 + 64x = -27 + 0 37 + 64x = -27 Add '-37' to each side of the equation. 37 + -37 + 64x = -27 + -37 Combine like terms: 37 + -37 = 0 0 + 64x = -27 + -37 64x = -27 + -37 Combine like terms: -27 + -37 = -64 64x = -64 Divide each side by '64'. x = -1 Simplifying x = -1
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