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Simplifying 5(2 + -7x) + 13x = 4x + -8 + -1(5x + -8) (2 * 5 + -7x * 5) + 13x = 4x + -8 + -1(5x + -8) (10 + -35x) + 13x = 4x + -8 + -1(5x + -8) Combine like terms: -35x + 13x = -22x 10 + -22x = 4x + -8 + -1(5x + -8) Reorder the terms: 10 + -22x = 4x + -8 + -1(-8 + 5x) 10 + -22x = 4x + -8 + (-8 * -1 + 5x * -1) 10 + -22x = 4x + -8 + (8 + -5x) Reorder the terms: 10 + -22x = -8 + 8 + 4x + -5x Combine like terms: -8 + 8 = 0 10 + -22x = 0 + 4x + -5x 10 + -22x = 4x + -5x Combine like terms: 4x + -5x = -1x 10 + -22x = -1x Solving 10 + -22x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + -22x + x = -1x + x Combine like terms: -22x + x = -21x 10 + -21x = -1x + x Combine like terms: -1x + x = 0 10 + -21x = 0 Add '-10' to each side of the equation. 10 + -10 + -21x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -21x = 0 + -10 -21x = 0 + -10 Combine like terms: 0 + -10 = -10 -21x = -10 Divide each side by '-21'. x = 0.4761904762 Simplifying x = 0.4761904762
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