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Simplifying 8(2x + -1) + -6x = 9(x + 1) + 4x Reorder the terms: 8(-1 + 2x) + -6x = 9(x + 1) + 4x (-1 * 8 + 2x * 8) + -6x = 9(x + 1) + 4x (-8 + 16x) + -6x = 9(x + 1) + 4x Combine like terms: 16x + -6x = 10x -8 + 10x = 9(x + 1) + 4x Reorder the terms: -8 + 10x = 9(1 + x) + 4x -8 + 10x = (1 * 9 + x * 9) + 4x -8 + 10x = (9 + 9x) + 4x Combine like terms: 9x + 4x = 13x -8 + 10x = 9 + 13x Solving -8 + 10x = 9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -8 + 10x + -13x = 9 + 13x + -13x Combine like terms: 10x + -13x = -3x -8 + -3x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + -3x = 9 + 0 -8 + -3x = 9 Add '8' to each side of the equation. -8 + 8 + -3x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 9 + 8 -3x = 9 + 8 Combine like terms: 9 + 8 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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