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Simplifying 3(7x + -12) + 26 = 3x + -10 Reorder the terms: 3(-12 + 7x) + 26 = 3x + -10 (-12 * 3 + 7x * 3) + 26 = 3x + -10 (-36 + 21x) + 26 = 3x + -10 Reorder the terms: -36 + 26 + 21x = 3x + -10 Combine like terms: -36 + 26 = -10 -10 + 21x = 3x + -10 Reorder the terms: -10 + 21x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + 21x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + 21x = -10 + 10 + 3x 21x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 21x = 0 + 3x 21x = 3x Solving 21x = 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. 21x + -3x = 3x + -3x Combine like terms: 21x + -3x = 18x 18x = 3x + -3x Combine like terms: 3x + -3x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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