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Simplifying 6x + 32 + -10x = 7x + 8x + -39 Reorder the terms: 32 + 6x + -10x = 7x + 8x + -39 Combine like terms: 6x + -10x = -4x 32 + -4x = 7x + 8x + -39 Reorder the terms: 32 + -4x = -39 + 7x + 8x Combine like terms: 7x + 8x = 15x 32 + -4x = -39 + 15x Solving 32 + -4x = -39 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 32 + -4x + -15x = -39 + 15x + -15x Combine like terms: -4x + -15x = -19x 32 + -19x = -39 + 15x + -15x Combine like terms: 15x + -15x = 0 32 + -19x = -39 + 0 32 + -19x = -39 Add '-32' to each side of the equation. 32 + -32 + -19x = -39 + -32 Combine like terms: 32 + -32 = 0 0 + -19x = -39 + -32 -19x = -39 + -32 Combine like terms: -39 + -32 = -71 -19x = -71 Divide each side by '-19'. x = 3.736842105 Simplifying x = 3.736842105
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