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Simplifying 3x + -5 + 7x = -3(x + -4) Reorder the terms: -5 + 3x + 7x = -3(x + -4) Combine like terms: 3x + 7x = 10x -5 + 10x = -3(x + -4) Reorder the terms: -5 + 10x = -3(-4 + x) -5 + 10x = (-4 * -3 + x * -3) -5 + 10x = (12 + -3x) Solving -5 + 10x = 12 + -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. -5 + 10x + 3x = 12 + -3x + 3x Combine like terms: 10x + 3x = 13x -5 + 13x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 13x = 12 + 0 -5 + 13x = 12 Add '5' to each side of the equation. -5 + 5 + 13x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 12 + 5 13x = 12 + 5 Combine like terms: 12 + 5 = 17 13x = 17 Divide each side by '13'. x = 1.307692308 Simplifying x = 1.307692308
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