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Simplifying 16x + 6(2x + -7) + -22 = 4(5 + 29) Reorder the terms: 16x + 6(-7 + 2x) + -22 = 4(5 + 29) 16x + (-7 * 6 + 2x * 6) + -22 = 4(5 + 29) 16x + (-42 + 12x) + -22 = 4(5 + 29) Reorder the terms: -42 + -22 + 16x + 12x = 4(5 + 29) Combine like terms: -42 + -22 = -64 -64 + 16x + 12x = 4(5 + 29) Combine like terms: 16x + 12x = 28x -64 + 28x = 4(5 + 29) Combine like terms: 5 + 29 = 34 -64 + 28x = 4(34) Multiply 4 * 34 -64 + 28x = 136 Solving -64 + 28x = 136 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 28x = 136 + 64 Combine like terms: -64 + 64 = 0 0 + 28x = 136 + 64 28x = 136 + 64 Combine like terms: 136 + 64 = 200 28x = 200 Divide each side by '28'. x = 7.142857143 Simplifying x = 7.142857143
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