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Simplifying 4(8x + -7) + 2x = 38 + x Reorder the terms: 4(-7 + 8x) + 2x = 38 + x (-7 * 4 + 8x * 4) + 2x = 38 + x (-28 + 32x) + 2x = 38 + x Combine like terms: 32x + 2x = 34x -28 + 34x = 38 + x Solving -28 + 34x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -28 + 34x + -1x = 38 + x + -1x Combine like terms: 34x + -1x = 33x -28 + 33x = 38 + x + -1x Combine like terms: x + -1x = 0 -28 + 33x = 38 + 0 -28 + 33x = 38 Add '28' to each side of the equation. -28 + 28 + 33x = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 33x = 38 + 28 33x = 38 + 28 Combine like terms: 38 + 28 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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