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Simplifying 3x + 4x + -7 * 2 = 10x + -17 + 52 Multiply -7 * 2 3x + 4x + -14 = 10x + -17 + 52 Reorder the terms: -14 + 3x + 4x = 10x + -17 + 52 Combine like terms: 3x + 4x = 7x -14 + 7x = 10x + -17 + 52 Reorder the terms: -14 + 7x = -17 + 52 + 10x Combine like terms: -17 + 52 = 35 -14 + 7x = 35 + 10x Solving -14 + 7x = 35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 7x + -10x = 35 + 10x + -10x Combine like terms: 7x + -10x = -3x -14 + -3x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -3x = 35 + 0 -14 + -3x = 35 Add '14' to each side of the equation. -14 + 14 + -3x = 35 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 35 + 14 -3x = 35 + 14 Combine like terms: 35 + 14 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333
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