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Simplifying 8(3x + -4) + 2x = 164 + -2x Reorder the terms: 8(-4 + 3x) + 2x = 164 + -2x (-4 * 8 + 3x * 8) + 2x = 164 + -2x (-32 + 24x) + 2x = 164 + -2x Combine like terms: 24x + 2x = 26x -32 + 26x = 164 + -2x Solving -32 + 26x = 164 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 26x + 2x = 164 + -2x + 2x Combine like terms: 26x + 2x = 28x -32 + 28x = 164 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 28x = 164 + 0 -32 + 28x = 164 Add '32' to each side of the equation. -32 + 32 + 28x = 164 + 32 Combine like terms: -32 + 32 = 0 0 + 28x = 164 + 32 28x = 164 + 32 Combine like terms: 164 + 32 = 196 28x = 196 Divide each side by '28'. x = 7 Simplifying x = 7
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