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Simplifying 4(3x + -2) = -3x + 7 Reorder the terms: 4(-2 + 3x) = -3x + 7 (-2 * 4 + 3x * 4) = -3x + 7 (-8 + 12x) = -3x + 7 Reorder the terms: -8 + 12x = 7 + -3x Solving -8 + 12x = 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. -8 + 12x + 3x = 7 + -3x + 3x Combine like terms: 12x + 3x = 15x -8 + 15x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 15x = 7 + 0 -8 + 15x = 7 Add '8' to each side of the equation. -8 + 8 + 15x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 7 + 8 15x = 7 + 8 Combine like terms: 7 + 8 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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