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Simplifying 14x + -4 = 10 + -6x + 3(x + 1) Reorder the terms: -4 + 14x = 10 + -6x + 3(x + 1) Reorder the terms: -4 + 14x = 10 + -6x + 3(1 + x) -4 + 14x = 10 + -6x + (1 * 3 + x * 3) -4 + 14x = 10 + -6x + (3 + 3x) Reorder the terms: -4 + 14x = 10 + 3 + -6x + 3x Combine like terms: 10 + 3 = 13 -4 + 14x = 13 + -6x + 3x Combine like terms: -6x + 3x = -3x -4 + 14x = 13 + -3x Solving -4 + 14x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 14x + 3x = 13 + -3x + 3x Combine like terms: 14x + 3x = 17x -4 + 17x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 17x = 13 + 0 -4 + 17x = 13 Add '4' to each side of the equation. -4 + 4 + 17x = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = 13 + 4 17x = 13 + 4 Combine like terms: 13 + 4 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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