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Simplifying 5(10 + -4x) + -1x = 6(x + 2) + -1(2x + -7) (10 * 5 + -4x * 5) + -1x = 6(x + 2) + -1(2x + -7) (50 + -20x) + -1x = 6(x + 2) + -1(2x + -7) Combine like terms: -20x + -1x = -21x 50 + -21x = 6(x + 2) + -1(2x + -7) Reorder the terms: 50 + -21x = 6(2 + x) + -1(2x + -7) 50 + -21x = (2 * 6 + x * 6) + -1(2x + -7) 50 + -21x = (12 + 6x) + -1(2x + -7) Reorder the terms: 50 + -21x = 12 + 6x + -1(-7 + 2x) 50 + -21x = 12 + 6x + (-7 * -1 + 2x * -1) 50 + -21x = 12 + 6x + (7 + -2x) Reorder the terms: 50 + -21x = 12 + 7 + 6x + -2x Combine like terms: 12 + 7 = 19 50 + -21x = 19 + 6x + -2x Combine like terms: 6x + -2x = 4x 50 + -21x = 19 + 4x Solving 50 + -21x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 50 + -21x + -4x = 19 + 4x + -4x Combine like terms: -21x + -4x = -25x 50 + -25x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 50 + -25x = 19 + 0 50 + -25x = 19 Add '-50' to each side of the equation. 50 + -50 + -25x = 19 + -50 Combine like terms: 50 + -50 = 0 0 + -25x = 19 + -50 -25x = 19 + -50 Combine like terms: 19 + -50 = -31 -25x = -31 Divide each side by '-25'. x = 1.24 Simplifying x = 1.24
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