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Simplifying 3x + 14 + 6x + -29 = 43 + 8x + -70 + -32 Reorder the terms: 14 + -29 + 3x + 6x = 43 + 8x + -70 + -32 Combine like terms: 14 + -29 = -15 -15 + 3x + 6x = 43 + 8x + -70 + -32 Combine like terms: 3x + 6x = 9x -15 + 9x = 43 + 8x + -70 + -32 Reorder the terms: -15 + 9x = 43 + -70 + -32 + 8x Combine like terms: 43 + -70 = -27 -15 + 9x = -27 + -32 + 8x Combine like terms: -27 + -32 = -59 -15 + 9x = -59 + 8x Solving -15 + 9x = -59 + 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. -15 + 9x + -8x = -59 + 8x + -8x Combine like terms: 9x + -8x = 1x -15 + 1x = -59 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 1x = -59 + 0 -15 + 1x = -59 Add '15' to each side of the equation. -15 + 15 + 1x = -59 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -59 + 15 1x = -59 + 15 Combine like terms: -59 + 15 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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