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Simplifying -7x + -29 = 5(7 + -4x) + -3x Reorder the terms: -29 + -7x = 5(7 + -4x) + -3x -29 + -7x = (7 * 5 + -4x * 5) + -3x -29 + -7x = (35 + -20x) + -3x Combine like terms: -20x + -3x = -23x -29 + -7x = 35 + -23x Solving -29 + -7x = 35 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -29 + -7x + 23x = 35 + -23x + 23x Combine like terms: -7x + 23x = 16x -29 + 16x = 35 + -23x + 23x Combine like terms: -23x + 23x = 0 -29 + 16x = 35 + 0 -29 + 16x = 35 Add '29' to each side of the equation. -29 + 29 + 16x = 35 + 29 Combine like terms: -29 + 29 = 0 0 + 16x = 35 + 29 16x = 35 + 29 Combine like terms: 35 + 29 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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