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Simplifying -4x + 8(x + 5) = -3x + 26 Reorder the terms: -4x + 8(5 + x) = -3x + 26 -4x + (5 * 8 + x * 8) = -3x + 26 -4x + (40 + 8x) = -3x + 26 Reorder the terms: 40 + -4x + 8x = -3x + 26 Combine like terms: -4x + 8x = 4x 40 + 4x = -3x + 26 Reorder the terms: 40 + 4x = 26 + -3x Solving 40 + 4x = 26 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + 4x + 3x = 26 + -3x + 3x Combine like terms: 4x + 3x = 7x 40 + 7x = 26 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 7x = 26 + 0 40 + 7x = 26 Add '-40' to each side of the equation. 40 + -40 + 7x = 26 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 26 + -40 7x = 26 + -40 Combine like terms: 26 + -40 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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