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Simplifying 5x + 8(2x + -4) = 19x + -26 Reorder the terms: 5x + 8(-4 + 2x) = 19x + -26 5x + (-4 * 8 + 2x * 8) = 19x + -26 5x + (-32 + 16x) = 19x + -26 Reorder the terms: -32 + 5x + 16x = 19x + -26 Combine like terms: 5x + 16x = 21x -32 + 21x = 19x + -26 Reorder the terms: -32 + 21x = -26 + 19x Solving -32 + 21x = -26 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -32 + 21x + -19x = -26 + 19x + -19x Combine like terms: 21x + -19x = 2x -32 + 2x = -26 + 19x + -19x Combine like terms: 19x + -19x = 0 -32 + 2x = -26 + 0 -32 + 2x = -26 Add '32' to each side of the equation. -32 + 32 + 2x = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -26 + 32 2x = -26 + 32 Combine like terms: -26 + 32 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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