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Simplifying 2(x + 3) + -3(2x + 1) = 8(2x + -1) + -9 Reorder the terms: 2(3 + x) + -3(2x + 1) = 8(2x + -1) + -9 (3 * 2 + x * 2) + -3(2x + 1) = 8(2x + -1) + -9 (6 + 2x) + -3(2x + 1) = 8(2x + -1) + -9 Reorder the terms: 6 + 2x + -3(1 + 2x) = 8(2x + -1) + -9 6 + 2x + (1 * -3 + 2x * -3) = 8(2x + -1) + -9 6 + 2x + (-3 + -6x) = 8(2x + -1) + -9 Reorder the terms: 6 + -3 + 2x + -6x = 8(2x + -1) + -9 Combine like terms: 6 + -3 = 3 3 + 2x + -6x = 8(2x + -1) + -9 Combine like terms: 2x + -6x = -4x 3 + -4x = 8(2x + -1) + -9 Reorder the terms: 3 + -4x = 8(-1 + 2x) + -9 3 + -4x = (-1 * 8 + 2x * 8) + -9 3 + -4x = (-8 + 16x) + -9 Reorder the terms: 3 + -4x = -8 + -9 + 16x Combine like terms: -8 + -9 = -17 3 + -4x = -17 + 16x Solving 3 + -4x = -17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3 + -4x + -16x = -17 + 16x + -16x Combine like terms: -4x + -16x = -20x 3 + -20x = -17 + 16x + -16x Combine like terms: 16x + -16x = 0 3 + -20x = -17 + 0 3 + -20x = -17 Add '-3' to each side of the equation. 3 + -3 + -20x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -20x = -17 + -3 -20x = -17 + -3 Combine like terms: -17 + -3 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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