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Simplifying 3x + -7 = 6 + 2(x + -5) Reorder the terms: -7 + 3x = 6 + 2(x + -5) Reorder the terms: -7 + 3x = 6 + 2(-5 + x) -7 + 3x = 6 + (-5 * 2 + x * 2) -7 + 3x = 6 + (-10 + 2x) Combine like terms: 6 + -10 = -4 -7 + 3x = -4 + 2x Solving -7 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = -4 + 0 -7 + 1x = -4 Add '7' to each side of the equation. -7 + 7 + 1x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -4 + 7 1x = -4 + 7 Combine like terms: -4 + 7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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