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Simplifying -14x + 4(x + -4) + 9x = 8x + -34 Reorder the terms: -14x + 4(-4 + x) + 9x = 8x + -34 -14x + (-4 * 4 + x * 4) + 9x = 8x + -34 -14x + (-16 + 4x) + 9x = 8x + -34 Reorder the terms: -16 + -14x + 4x + 9x = 8x + -34 Combine like terms: -14x + 4x = -10x -16 + -10x + 9x = 8x + -34 Combine like terms: -10x + 9x = -1x -16 + -1x = 8x + -34 Reorder the terms: -16 + -1x = -34 + 8x Solving -16 + -1x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + -1x + -8x = -34 + 8x + -8x Combine like terms: -1x + -8x = -9x -16 + -9x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -9x = -34 + 0 -16 + -9x = -34 Add '16' to each side of the equation. -16 + 16 + -9x = -34 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = -34 + 16 -9x = -34 + 16 Combine like terms: -34 + 16 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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