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Simplifying 26 + -1(3x + 12) + 11 + -4(x + 1) = 0 Reorder the terms: 26 + -1(12 + 3x) + 11 + -4(x + 1) = 0 26 + (12 * -1 + 3x * -1) + 11 + -4(x + 1) = 0 26 + (-12 + -3x) + 11 + -4(x + 1) = 0 Reorder the terms: 26 + -12 + -3x + 11 + -4(1 + x) = 0 26 + -12 + -3x + 11 + (1 * -4 + x * -4) = 0 26 + -12 + -3x + 11 + (-4 + -4x) = 0 Reorder the terms: 26 + -12 + 11 + -4 + -3x + -4x = 0 Combine like terms: 26 + -12 = 14 14 + 11 + -4 + -3x + -4x = 0 Combine like terms: 14 + 11 = 25 25 + -4 + -3x + -4x = 0 Combine like terms: 25 + -4 = 21 21 + -3x + -4x = 0 Combine like terms: -3x + -4x = -7x 21 + -7x = 0 Solving 21 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 0 + -21 -7x = 0 + -21 Combine like terms: 0 + -21 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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