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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 = 7x -5 + 7x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 7x = -12 + 0 -5 + 7x = -12 Add '5' to each side of the equation. -5 + 5 + 7x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -12 + 5 7x = -12 + 5 Combine like terms: -12 + 5 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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