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Simplifying 4(3x + -2) = 7(x + 1) Reorder the terms: 4(-2 + 3x) = 7(x + 1) (-2 * 4 + 3x * 4) = 7(x + 1) (-8 + 12x) = 7(x + 1) Reorder the terms: -8 + 12x = 7(1 + x) -8 + 12x = (1 * 7 + x * 7) -8 + 12x = (7 + 7x) Solving -8 + 12x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 12x + -7x = 7 + 7x + -7x Combine like terms: 12x + -7x = 5x -8 + 5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 5x = 7 + 0 -8 + 5x = 7 Add '8' to each side of the equation. -8 + 8 + 5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 7 + 8 5x = 7 + 8 Combine like terms: 7 + 8 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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