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Simplifying 5x + 7 + -26x + 1 = 3x + -2(-4x + 1) Reorder the terms: 7 + 1 + 5x + -26x = 3x + -2(-4x + 1) Combine like terms: 7 + 1 = 8 8 + 5x + -26x = 3x + -2(-4x + 1) Combine like terms: 5x + -26x = -21x 8 + -21x = 3x + -2(-4x + 1) Reorder the terms: 8 + -21x = 3x + -2(1 + -4x) 8 + -21x = 3x + (1 * -2 + -4x * -2) 8 + -21x = 3x + (-2 + 8x) Reorder the terms: 8 + -21x = -2 + 3x + 8x Combine like terms: 3x + 8x = 11x 8 + -21x = -2 + 11x Solving 8 + -21x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + -21x + -11x = -2 + 11x + -11x Combine like terms: -21x + -11x = -32x 8 + -32x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -32x = -2 + 0 8 + -32x = -2 Add '-8' to each side of the equation. 8 + -8 + -32x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -32x = -2 + -8 -32x = -2 + -8 Combine like terms: -2 + -8 = -10 -32x = -10 Divide each side by '-32'. x = 0.3125 Simplifying x = 0.3125
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