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Simplifying 4(4x + 3) + -3(2x + 6) = 2(3x + -9) + 2x + -4 Reorder the terms: 4(3 + 4x) + -3(2x + 6) = 2(3x + -9) + 2x + -4 (3 * 4 + 4x * 4) + -3(2x + 6) = 2(3x + -9) + 2x + -4 (12 + 16x) + -3(2x + 6) = 2(3x + -9) + 2x + -4 Reorder the terms: 12 + 16x + -3(6 + 2x) = 2(3x + -9) + 2x + -4 12 + 16x + (6 * -3 + 2x * -3) = 2(3x + -9) + 2x + -4 12 + 16x + (-18 + -6x) = 2(3x + -9) + 2x + -4 Reorder the terms: 12 + -18 + 16x + -6x = 2(3x + -9) + 2x + -4 Combine like terms: 12 + -18 = -6 -6 + 16x + -6x = 2(3x + -9) + 2x + -4 Combine like terms: 16x + -6x = 10x -6 + 10x = 2(3x + -9) + 2x + -4 Reorder the terms: -6 + 10x = 2(-9 + 3x) + 2x + -4 -6 + 10x = (-9 * 2 + 3x * 2) + 2x + -4 -6 + 10x = (-18 + 6x) + 2x + -4 Reorder the terms: -6 + 10x = -18 + -4 + 6x + 2x Combine like terms: -18 + -4 = -22 -6 + 10x = -22 + 6x + 2x Combine like terms: 6x + 2x = 8x -6 + 10x = -22 + 8x Solving -6 + 10x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 10x + -8x = -22 + 8x + -8x Combine like terms: 10x + -8x = 2x -6 + 2x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 2x = -22 + 0 -6 + 2x = -22 Add '6' to each side of the equation. -6 + 6 + 2x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -22 + 6 2x = -22 + 6 Combine like terms: -22 + 6 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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