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Simplifying 3x + -15 + -4x + 29 = 6x + -22 + 2x Reorder the terms: -15 + 29 + 3x + -4x = 6x + -22 + 2x Combine like terms: -15 + 29 = 14 14 + 3x + -4x = 6x + -22 + 2x Combine like terms: 3x + -4x = -1x 14 + -1x = 6x + -22 + 2x Reorder the terms: 14 + -1x = -22 + 6x + 2x Combine like terms: 6x + 2x = 8x 14 + -1x = -22 + 8x Solving 14 + -1x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + -1x + -8x = -22 + 8x + -8x Combine like terms: -1x + -8x = -9x 14 + -9x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -9x = -22 + 0 14 + -9x = -22 Add '-14' to each side of the equation. 14 + -14 + -9x = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -22 + -14 -9x = -22 + -14 Combine like terms: -22 + -14 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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