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Simplifying 63 + 6x + -19 = 17x + -10 + -2x Reorder the terms: 63 + -19 + 6x = 17x + -10 + -2x Combine like terms: 63 + -19 = 44 44 + 6x = 17x + -10 + -2x Reorder the terms: 44 + 6x = -10 + 17x + -2x Combine like terms: 17x + -2x = 15x 44 + 6x = -10 + 15x Solving 44 + 6x = -10 + 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. 44 + 6x + -15x = -10 + 15x + -15x Combine like terms: 6x + -15x = -9x 44 + -9x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 44 + -9x = -10 + 0 44 + -9x = -10 Add '-44' to each side of the equation. 44 + -44 + -9x = -10 + -44 Combine like terms: 44 + -44 = 0 0 + -9x = -10 + -44 -9x = -10 + -44 Combine like terms: -10 + -44 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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