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Simplifying 8(x + 5) + -2(1 + 3x) = 26 Reorder the terms: 8(5 + x) + -2(1 + 3x) = 26 (5 * 8 + x * 8) + -2(1 + 3x) = 26 (40 + 8x) + -2(1 + 3x) = 26 40 + 8x + (1 * -2 + 3x * -2) = 26 40 + 8x + (-2 + -6x) = 26 Reorder the terms: 40 + -2 + 8x + -6x = 26 Combine like terms: 40 + -2 = 38 38 + 8x + -6x = 26 Combine like terms: 8x + -6x = 2x 38 + 2x = 26 Solving 38 + 2x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2x = 26 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 26 + -38 2x = 26 + -38 Combine like terms: 26 + -38 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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