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Simplifying 3x + -2(5x + -4) = 4x + -1(2x + 26) Reorder the terms: 3x + -2(-4 + 5x) = 4x + -1(2x + 26) 3x + (-4 * -2 + 5x * -2) = 4x + -1(2x + 26) 3x + (8 + -10x) = 4x + -1(2x + 26) Reorder the terms: 8 + 3x + -10x = 4x + -1(2x + 26) Combine like terms: 3x + -10x = -7x 8 + -7x = 4x + -1(2x + 26) Reorder the terms: 8 + -7x = 4x + -1(26 + 2x) 8 + -7x = 4x + (26 * -1 + 2x * -1) 8 + -7x = 4x + (-26 + -2x) Reorder the terms: 8 + -7x = -26 + 4x + -2x Combine like terms: 4x + -2x = 2x 8 + -7x = -26 + 2x Solving 8 + -7x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -7x + -2x = -26 + 2x + -2x Combine like terms: -7x + -2x = -9x 8 + -9x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -9x = -26 + 0 8 + -9x = -26 Add '-8' to each side of the equation. 8 + -8 + -9x = -26 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -26 + -8 -9x = -26 + -8 Combine like terms: -26 + -8 = -34 -9x = -34 Divide each side by '-9'. x = 3.777777778 Simplifying x = 3.777777778
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