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Simplifying 3[x + 14] = -4[x + -7] Reorder the terms: 3[14 + x] = -4[x + -7] [14 * 3 + x * 3] = -4[x + -7] [42 + 3x] = -4[x + -7] Reorder the terms: 42 + 3x = -4[-7 + x] 42 + 3x = [-7 * -4 + x * -4] 42 + 3x = [28 + -4x] Solving 42 + 3x = 28 + -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 = 28 + -4x + 4x Combine like terms: 3x + 4x = 7x 42 + 7x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 7x = 28 + 0 42 + 7x = 28 Add '-42' to each side of the equation. 42 + -42 + 7x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 28 + -42 7x = 28 + -42 Combine like terms: 28 + -42 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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