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Simplifying x5 + 2x4 + -1ax3 + -1x2 + bx + -2 = -7 Reorder the terms: -2 + -1ax3 + bx + -1x2 + 2x4 + x5 = -7 Solving -2 + -1ax3 + bx + -1x2 + 2x4 + x5 = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1ax3 + bx + -1x2 + 2x4 + 2 + x5 = -7 + 2 Reorder the terms: -2 + 2 + -1ax3 + bx + -1x2 + 2x4 + x5 = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -1ax3 + bx + -1x2 + 2x4 + x5 = -7 + 2 -1ax3 + bx + -1x2 + 2x4 + x5 = -7 + 2 Combine like terms: -7 + 2 = -5 -1ax3 + bx + -1x2 + 2x4 + x5 = -5 Add '-1bx' to each side of the equation. -1ax3 + bx + -1x2 + 2x4 + -1bx + x5 = -5 + -1bx Reorder the terms: -1ax3 + bx + -1bx + -1x2 + 2x4 + x5 = -5 + -1bx Combine like terms: bx + -1bx = 0 -1ax3 + 0 + -1x2 + 2x4 + x5 = -5 + -1bx -1ax3 + -1x2 + 2x4 + x5 = -5 + -1bx Add 'x2' to each side of the equation. -1ax3 + -1x2 + 2x4 + x2 + x5 = -5 + -1bx + x2 Reorder the terms: -1ax3 + -1x2 + x2 + 2x4 + x5 = -5 + -1bx + x2 Combine like terms: -1x2 + x2 = 0 -1ax3 + 0 + 2x4 + x5 = -5 + -1bx + x2 -1ax3 + 2x4 + x5 = -5 + -1bx + x2 Add '-2x4' to each side of the equation. -1ax3 + 2x4 + -2x4 + x5 = -5 + -1bx + x2 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -1ax3 + 0 + x5 = -5 + -1bx + x2 + -2x4 -1ax3 + x5 = -5 + -1bx + x2 + -2x4 Add '-1x5' to each side of the equation. -1ax3 + x5 + -1x5 = -5 + -1bx + x2 + -2x4 + -1x5 Combine like terms: x5 + -1x5 = 0 -1ax3 + 0 = -5 + -1bx + x2 + -2x4 + -1x5 -1ax3 = -5 + -1bx + x2 + -2x4 + -1x5 Divide each side by '-1x3'. a = 5x-3 + bx-2 + -1x-1 + 2x + x2 Simplifying a = 5x-3 + bx-2 + -1x-1 + 2x + x2 Reorder the terms: a = bx-2 + 5x-3 + -1x-1 + 2x + x2
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