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Simplifying 2x + -4(x + -3) = 3x + 7 Reorder the terms: 2x + -4(-3 + x) = 3x + 7 2x + (-3 * -4 + x * -4) = 3x + 7 2x + (12 + -4x) = 3x + 7 Reorder the terms: 12 + 2x + -4x = 3x + 7 Combine like terms: 2x + -4x = -2x 12 + -2x = 3x + 7 Reorder the terms: 12 + -2x = 7 + 3x Solving 12 + -2x = 7 + 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. 12 + -2x + -3x = 7 + 3x + -3x Combine like terms: -2x + -3x = -5x 12 + -5x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -5x = 7 + 0 12 + -5x = 7 Add '-12' to each side of the equation. 12 + -12 + -5x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 7 + -12 -5x = 7 + -12 Combine like terms: 7 + -12 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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