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Simplifying 4x + -10 + 51 = 17x + -12 Reorder the terms: -10 + 51 + 4x = 17x + -12 Combine like terms: -10 + 51 = 41 41 + 4x = 17x + -12 Reorder the terms: 41 + 4x = -12 + 17x Solving 41 + 4x = -12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 41 + 4x + -17x = -12 + 17x + -17x Combine like terms: 4x + -17x = -13x 41 + -13x = -12 + 17x + -17x Combine like terms: 17x + -17x = 0 41 + -13x = -12 + 0 41 + -13x = -12 Add '-41' to each side of the equation. 41 + -41 + -13x = -12 + -41 Combine like terms: 41 + -41 = 0 0 + -13x = -12 + -41 -13x = -12 + -41 Combine like terms: -12 + -41 = -53 -13x = -53 Divide each side by '-13'. x = 4.076923077 Simplifying x = 4.076923077
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