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Simplifying 3[7x + -4(x + 3)] + 34 = 16 Reorder the terms: 3[7x + -4(3 + x)] + 34 = 16 3[7x + (3 * -4 + x * -4)] + 34 = 16 3[7x + (-12 + -4x)] + 34 = 16 Reorder the terms: 3[-12 + 7x + -4x] + 34 = 16 Combine like terms: 7x + -4x = 3x 3[-12 + 3x] + 34 = 16 [-12 * 3 + 3x * 3] + 34 = 16 [-36 + 9x] + 34 = 16 Reorder the terms: -36 + 34 + 9x = 16 Combine like terms: -36 + 34 = -2 -2 + 9x = 16 Solving -2 + 9x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 16 + 2 9x = 16 + 2 Combine like terms: 16 + 2 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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