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Simplifying 3x + 29 + -2x = 7 + 5x + -6 Reorder the terms: 29 + 3x + -2x = 7 + 5x + -6 Combine like terms: 3x + -2x = 1x 29 + 1x = 7 + 5x + -6 Reorder the terms: 29 + 1x = 7 + -6 + 5x Combine like terms: 7 + -6 = 1 29 + 1x = 1 + 5x Solving 29 + 1x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + 1x + -5x = 1 + 5x + -5x Combine like terms: 1x + -5x = -4x 29 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -4x = 1 + 0 29 + -4x = 1 Add '-29' to each side of the equation. 29 + -29 + -4x = 1 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 1 + -29 -4x = 1 + -29 Combine like terms: 1 + -29 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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