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Simplifying 4x + 26 + 10x + -45 = 14x + 12 + 3x + 24 + -40 Reorder the terms: 26 + -45 + 4x + 10x = 14x + 12 + 3x + 24 + -40 Combine like terms: 26 + -45 = -19 -19 + 4x + 10x = 14x + 12 + 3x + 24 + -40 Combine like terms: 4x + 10x = 14x -19 + 14x = 14x + 12 + 3x + 24 + -40 Reorder the terms: -19 + 14x = 12 + 24 + -40 + 14x + 3x Combine like terms: 12 + 24 = 36 -19 + 14x = 36 + -40 + 14x + 3x Combine like terms: 36 + -40 = -4 -19 + 14x = -4 + 14x + 3x Combine like terms: 14x + 3x = 17x -19 + 14x = -4 + 17x Solving -19 + 14x = -4 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -19 + 14x + -17x = -4 + 17x + -17x Combine like terms: 14x + -17x = -3x -19 + -3x = -4 + 17x + -17x Combine like terms: 17x + -17x = 0 -19 + -3x = -4 + 0 -19 + -3x = -4 Add '19' to each side of the equation. -19 + 19 + -3x = -4 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = -4 + 19 -3x = -4 + 19 Combine like terms: -4 + 19 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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