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Simplifying 7x + -6 = -4 + 3(x + -2) Reorder the terms: -6 + 7x = -4 + 3(x + -2) Reorder the terms: -6 + 7x = -4 + 3(-2 + x) -6 + 7x = -4 + (-2 * 3 + x * 3) -6 + 7x = -4 + (-6 + 3x) Combine like terms: -4 + -6 = -10 -6 + 7x = -10 + 3x Solving -6 + 7x = -10 + 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. -6 + 7x + -3x = -10 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = -10 + 0 -6 + 4x = -10 Add '6' to each side of the equation. -6 + 6 + 4x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -10 + 6 4x = -10 + 6 Combine like terms: -10 + 6 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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