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Simplifying 7x + -42 + 3x + -29 = 6x + -3 Reorder the terms: -42 + -29 + 7x + 3x = 6x + -3 Combine like terms: -42 + -29 = -71 -71 + 7x + 3x = 6x + -3 Combine like terms: 7x + 3x = 10x -71 + 10x = 6x + -3 Reorder the terms: -71 + 10x = -3 + 6x Solving -71 + 10x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -71 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x -71 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -71 + 4x = -3 + 0 -71 + 4x = -3 Add '71' to each side of the equation. -71 + 71 + 4x = -3 + 71 Combine like terms: -71 + 71 = 0 0 + 4x = -3 + 71 4x = -3 + 71 Combine like terms: -3 + 71 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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