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Simplifying 3x + 226 = 7[x + -6] Reorder the terms: 226 + 3x = 7[x + -6] Reorder the terms: 226 + 3x = 7[-6 + x] 226 + 3x = [-6 * 7 + x * 7] 226 + 3x = [-42 + 7x] Solving 226 + 3x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 226 + 3x + -7x = -42 + 7x + -7x Combine like terms: 3x + -7x = -4x 226 + -4x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 226 + -4x = -42 + 0 226 + -4x = -42 Add '-226' to each side of the equation. 226 + -226 + -4x = -42 + -226 Combine like terms: 226 + -226 = 0 0 + -4x = -42 + -226 -4x = -42 + -226 Combine like terms: -42 + -226 = -268 -4x = -268 Divide each side by '-4'. x = 67 Simplifying x = 67
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