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Simplifying 47 + 3x + -15 = 11x + -10 + -2x Reorder the terms: 47 + -15 + 3x = 11x + -10 + -2x Combine like terms: 47 + -15 = 32 32 + 3x = 11x + -10 + -2x Reorder the terms: 32 + 3x = -10 + 11x + -2x Combine like terms: 11x + -2x = 9x 32 + 3x = -10 + 9x Solving 32 + 3x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 3x + -9x = -10 + 9x + -9x Combine like terms: 3x + -9x = -6x 32 + -6x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -6x = -10 + 0 32 + -6x = -10 Add '-32' to each side of the equation. 32 + -32 + -6x = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = -10 + -32 -6x = -10 + -32 Combine like terms: -10 + -32 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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