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