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Simplifying 10 + -7x + 4x + -42 = 53 + x + 33 + -6x Reorder the terms: 10 + -42 + -7x + 4x = 53 + x + 33 + -6x Combine like terms: 10 + -42 = -32 -32 + -7x + 4x = 53 + x + 33 + -6x Combine like terms: -7x + 4x = -3x -32 + -3x = 53 + x + 33 + -6x Reorder the terms: -32 + -3x = 53 + 33 + x + -6x Combine like terms: 53 + 33 = 86 -32 + -3x = 86 + x + -6x Combine like terms: x + -6x = -5x -32 + -3x = 86 + -5x Solving -32 + -3x = 86 + -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. -32 + -3x + 5x = 86 + -5x + 5x Combine like terms: -3x + 5x = 2x -32 + 2x = 86 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 2x = 86 + 0 -32 + 2x = 86 Add '32' to each side of the equation. -32 + 32 + 2x = 86 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 86 + 32 2x = 86 + 32 Combine like terms: 86 + 32 = 118 2x = 118 Divide each side by '2'. x = 59 Simplifying x = 59
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