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Simplifying 7(5x + 1) + -3x = -8x + -37 Reorder the terms: 7(1 + 5x) + -3x = -8x + -37 (1 * 7 + 5x * 7) + -3x = -8x + -37 (7 + 35x) + -3x = -8x + -37 Combine like terms: 35x + -3x = 32x 7 + 32x = -8x + -37 Reorder the terms: 7 + 32x = -37 + -8x Solving 7 + 32x = -37 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + 32x + 8x = -37 + -8x + 8x Combine like terms: 32x + 8x = 40x 7 + 40x = -37 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 40x = -37 + 0 7 + 40x = -37 Add '-7' to each side of the equation. 7 + -7 + 40x = -37 + -7 Combine like terms: 7 + -7 = 0 0 + 40x = -37 + -7 40x = -37 + -7 Combine like terms: -37 + -7 = -44 40x = -44 Divide each side by '40'. x = -1.1 Simplifying x = -1.1
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