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Simplifying 8(x + -2) + -2(3x + 9) = 11 + -5(2x + -1) + 4x Reorder the terms: 8(-2 + x) + -2(3x + 9) = 11 + -5(2x + -1) + 4x (-2 * 8 + x * 8) + -2(3x + 9) = 11 + -5(2x + -1) + 4x (-16 + 8x) + -2(3x + 9) = 11 + -5(2x + -1) + 4x Reorder the terms: -16 + 8x + -2(9 + 3x) = 11 + -5(2x + -1) + 4x -16 + 8x + (9 * -2 + 3x * -2) = 11 + -5(2x + -1) + 4x -16 + 8x + (-18 + -6x) = 11 + -5(2x + -1) + 4x Reorder the terms: -16 + -18 + 8x + -6x = 11 + -5(2x + -1) + 4x Combine like terms: -16 + -18 = -34 -34 + 8x + -6x = 11 + -5(2x + -1) + 4x Combine like terms: 8x + -6x = 2x -34 + 2x = 11 + -5(2x + -1) + 4x Reorder the terms: -34 + 2x = 11 + -5(-1 + 2x) + 4x -34 + 2x = 11 + (-1 * -5 + 2x * -5) + 4x -34 + 2x = 11 + (5 + -10x) + 4x Combine like terms: 11 + 5 = 16 -34 + 2x = 16 + -10x + 4x Combine like terms: -10x + 4x = -6x -34 + 2x = 16 + -6x Solving -34 + 2x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -34 + 2x + 6x = 16 + -6x + 6x Combine like terms: 2x + 6x = 8x -34 + 8x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + 8x = 16 + 0 -34 + 8x = 16 Add '34' to each side of the equation. -34 + 34 + 8x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = 16 + 34 8x = 16 + 34 Combine like terms: 16 + 34 = 50 8x = 50 Divide each side by '8'. x = 6.25 Simplifying x = 6.25
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