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Simplifying -15x + -4(-4x + 6) + -23 + 2x = -9 + -7(5x + -6) + -8x Reorder the terms: -15x + -4(6 + -4x) + -23 + 2x = -9 + -7(5x + -6) + -8x -15x + (6 * -4 + -4x * -4) + -23 + 2x = -9 + -7(5x + -6) + -8x -15x + (-24 + 16x) + -23 + 2x = -9 + -7(5x + -6) + -8x Reorder the terms: -24 + -23 + -15x + 16x + 2x = -9 + -7(5x + -6) + -8x Combine like terms: -24 + -23 = -47 -47 + -15x + 16x + 2x = -9 + -7(5x + -6) + -8x Combine like terms: -15x + 16x = 1x -47 + 1x + 2x = -9 + -7(5x + -6) + -8x Combine like terms: 1x + 2x = 3x -47 + 3x = -9 + -7(5x + -6) + -8x Reorder the terms: -47 + 3x = -9 + -7(-6 + 5x) + -8x -47 + 3x = -9 + (-6 * -7 + 5x * -7) + -8x -47 + 3x = -9 + (42 + -35x) + -8x Combine like terms: -9 + 42 = 33 -47 + 3x = 33 + -35x + -8x Combine like terms: -35x + -8x = -43x -47 + 3x = 33 + -43x Solving -47 + 3x = 33 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. -47 + 3x + 43x = 33 + -43x + 43x Combine like terms: 3x + 43x = 46x -47 + 46x = 33 + -43x + 43x Combine like terms: -43x + 43x = 0 -47 + 46x = 33 + 0 -47 + 46x = 33 Add '47' to each side of the equation. -47 + 47 + 46x = 33 + 47 Combine like terms: -47 + 47 = 0 0 + 46x = 33 + 47 46x = 33 + 47 Combine like terms: 33 + 47 = 80 46x = 80 Divide each side by '46'. x = 1.739130435 Simplifying x = 1.739130435
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