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Simplifying -2(5x + -3) + -1(2x + -4) = 5 + -1(6x + 1) Reorder the terms: -2(-3 + 5x) + -1(2x + -4) = 5 + -1(6x + 1) (-3 * -2 + 5x * -2) + -1(2x + -4) = 5 + -1(6x + 1) (6 + -10x) + -1(2x + -4) = 5 + -1(6x + 1) Reorder the terms: 6 + -10x + -1(-4 + 2x) = 5 + -1(6x + 1) 6 + -10x + (-4 * -1 + 2x * -1) = 5 + -1(6x + 1) 6 + -10x + (4 + -2x) = 5 + -1(6x + 1) Reorder the terms: 6 + 4 + -10x + -2x = 5 + -1(6x + 1) Combine like terms: 6 + 4 = 10 10 + -10x + -2x = 5 + -1(6x + 1) Combine like terms: -10x + -2x = -12x 10 + -12x = 5 + -1(6x + 1) Reorder the terms: 10 + -12x = 5 + -1(1 + 6x) 10 + -12x = 5 + (1 * -1 + 6x * -1) 10 + -12x = 5 + (-1 + -6x) Combine like terms: 5 + -1 = 4 10 + -12x = 4 + -6x Solving 10 + -12x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -12x + 6x = 4 + -6x + 6x Combine like terms: -12x + 6x = -6x 10 + -6x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -6x = 4 + 0 10 + -6x = 4 Add '-10' to each side of the equation. 10 + -10 + -6x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 4 + -10 -6x = 4 + -10 Combine like terms: 4 + -10 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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