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Simplifying 5(6x + -7) + 3x = 4x + -32 + 29 Reorder the terms: 5(-7 + 6x) + 3x = 4x + -32 + 29 (-7 * 5 + 6x * 5) + 3x = 4x + -32 + 29 (-35 + 30x) + 3x = 4x + -32 + 29 Combine like terms: 30x + 3x = 33x -35 + 33x = 4x + -32 + 29 Reorder the terms: -35 + 33x = -32 + 29 + 4x Combine like terms: -32 + 29 = -3 -35 + 33x = -3 + 4x Solving -35 + 33x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 33x + -4x = -3 + 4x + -4x Combine like terms: 33x + -4x = 29x -35 + 29x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 29x = -3 + 0 -35 + 29x = -3 Add '35' to each side of the equation. -35 + 35 + 29x = -3 + 35 Combine like terms: -35 + 35 = 0 0 + 29x = -3 + 35 29x = -3 + 35 Combine like terms: -3 + 35 = 32 29x = 32 Divide each side by '29'. x = 1.103448276 Simplifying x = 1.103448276
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