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Simplifying 4(3x + -2) = 7 + 2(2x + -1) + 3x Reorder the terms: 4(-2 + 3x) = 7 + 2(2x + -1) + 3x (-2 * 4 + 3x * 4) = 7 + 2(2x + -1) + 3x (-8 + 12x) = 7 + 2(2x + -1) + 3x Reorder the terms: -8 + 12x = 7 + 2(-1 + 2x) + 3x -8 + 12x = 7 + (-1 * 2 + 2x * 2) + 3x -8 + 12x = 7 + (-2 + 4x) + 3x Combine like terms: 7 + -2 = 5 -8 + 12x = 5 + 4x + 3x Combine like terms: 4x + 3x = 7x -8 + 12x = 5 + 7x Solving -8 + 12x = 5 + 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 = 5 + 7x + -7x Combine like terms: 12x + -7x = 5x -8 + 5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 5x = 5 + 0 -8 + 5x = 5 Add '8' to each side of the equation. -8 + 8 + 5x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 5 + 8 5x = 5 + 8 Combine like terms: 5 + 8 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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