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Simplifying 3x + -7 = -2(x + -4) Reorder the terms: -7 + 3x = -2(x + -4) Reorder the terms: -7 + 3x = -2(-4 + x) -7 + 3x = (-4 * -2 + x * -2) -7 + 3x = (8 + -2x) Solving -7 + 3x = 8 + -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 = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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