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Simplifying 3(x + 14) = 4(21 + -1x) Reorder the terms: 3(14 + x) = 4(21 + -1x) (14 * 3 + x * 3) = 4(21 + -1x) (42 + 3x) = 4(21 + -1x) 42 + 3x = (21 * 4 + -1x * 4) 42 + 3x = (84 + -4x) Solving 42 + 3x = 84 + -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. 42 + 3x + 4x = 84 + -4x + 4x Combine like terms: 3x + 4x = 7x 42 + 7x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 7x = 84 + 0 42 + 7x = 84 Add '-42' to each side of the equation. 42 + -42 + 7x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 84 + -42 7x = 84 + -42 Combine like terms: 84 + -42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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