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Simplifying 7x + -4 = 6 + -3(x + 1) Reorder the terms: -4 + 7x = 6 + -3(x + 1) Reorder the terms: -4 + 7x = 6 + -3(1 + x) -4 + 7x = 6 + (1 * -3 + x * -3) -4 + 7x = 6 + (-3 + -3x) Combine like terms: 6 + -3 = 3 -4 + 7x = 3 + -3x Solving -4 + 7x = 3 + -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 + 7x + 3x = 3 + -3x + 3x Combine like terms: 7x + 3x = 10x -4 + 10x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 10x = 3 + 0 -4 + 10x = 3 Add '4' to each side of the equation. -4 + 4 + 10x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 3 + 4 10x = 3 + 4 Combine like terms: 3 + 4 = 7 10x = 7 Divide each side by '10'. x = 0.7 Simplifying x = 0.7
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