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Simplifying 2x + -3(x + 1) = 4(x + 3) Reorder the terms: 2x + -3(1 + x) = 4(x + 3) 2x + (1 * -3 + x * -3) = 4(x + 3) 2x + (-3 + -3x) = 4(x + 3) Reorder the terms: -3 + 2x + -3x = 4(x + 3) Combine like terms: 2x + -3x = -1x -3 + -1x = 4(x + 3) Reorder the terms: -3 + -1x = 4(3 + x) -3 + -1x = (3 * 4 + x * 4) -3 + -1x = (12 + 4x) Solving -3 + -1x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -1x + -4x = 12 + 4x + -4x Combine like terms: -1x + -4x = -5x -3 + -5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -5x = 12 + 0 -3 + -5x = 12 Add '3' to each side of the equation. -3 + 3 + -5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 12 + 3 -5x = 12 + 3 Combine like terms: 12 + 3 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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