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Simplifying 2(x + -3) + 3(2x + 1) = 5x + 4(x + 2) Reorder the terms: 2(-3 + x) + 3(2x + 1) = 5x + 4(x + 2) (-3 * 2 + x * 2) + 3(2x + 1) = 5x + 4(x + 2) (-6 + 2x) + 3(2x + 1) = 5x + 4(x + 2) Reorder the terms: -6 + 2x + 3(1 + 2x) = 5x + 4(x + 2) -6 + 2x + (1 * 3 + 2x * 3) = 5x + 4(x + 2) -6 + 2x + (3 + 6x) = 5x + 4(x + 2) Reorder the terms: -6 + 3 + 2x + 6x = 5x + 4(x + 2) Combine like terms: -6 + 3 = -3 -3 + 2x + 6x = 5x + 4(x + 2) Combine like terms: 2x + 6x = 8x -3 + 8x = 5x + 4(x + 2) Reorder the terms: -3 + 8x = 5x + 4(2 + x) -3 + 8x = 5x + (2 * 4 + x * 4) -3 + 8x = 5x + (8 + 4x) Reorder the terms: -3 + 8x = 8 + 5x + 4x Combine like terms: 5x + 4x = 9x -3 + 8x = 8 + 9x Solving -3 + 8x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 8x + -9x = 8 + 9x + -9x Combine like terms: 8x + -9x = -1x -3 + -1x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -1x = 8 + 0 -3 + -1x = 8 Add '3' to each side of the equation. -3 + 3 + -1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 8 + 3 -1x = 8 + 3 Combine like terms: 8 + 3 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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