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Simplifying 2(3x + 1) + 3(2x + -2) = 4(x + 3) + 9 Reorder the terms: 2(1 + 3x) + 3(2x + -2) = 4(x + 3) + 9 (1 * 2 + 3x * 2) + 3(2x + -2) = 4(x + 3) + 9 (2 + 6x) + 3(2x + -2) = 4(x + 3) + 9 Reorder the terms: 2 + 6x + 3(-2 + 2x) = 4(x + 3) + 9 2 + 6x + (-2 * 3 + 2x * 3) = 4(x + 3) + 9 2 + 6x + (-6 + 6x) = 4(x + 3) + 9 Reorder the terms: 2 + -6 + 6x + 6x = 4(x + 3) + 9 Combine like terms: 2 + -6 = -4 -4 + 6x + 6x = 4(x + 3) + 9 Combine like terms: 6x + 6x = 12x -4 + 12x = 4(x + 3) + 9 Reorder the terms: -4 + 12x = 4(3 + x) + 9 -4 + 12x = (3 * 4 + x * 4) + 9 -4 + 12x = (12 + 4x) + 9 Reorder the terms: -4 + 12x = 12 + 9 + 4x Combine like terms: 12 + 9 = 21 -4 + 12x = 21 + 4x Solving -4 + 12x = 21 + 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. -4 + 12x + -4x = 21 + 4x + -4x Combine like terms: 12x + -4x = 8x -4 + 8x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 8x = 21 + 0 -4 + 8x = 21 Add '4' to each side of the equation. -4 + 4 + 8x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 21 + 4 8x = 21 + 4 Combine like terms: 21 + 4 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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