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Simplifying 4x + 10 = 17x + -43 Reorder the terms: 10 + 4x = 17x + -43 Reorder the terms: 10 + 4x = -43 + 17x Solving 10 + 4x = -43 + 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. 10 + 4x + -17x = -43 + 17x + -17x Combine like terms: 4x + -17x = -13x 10 + -13x = -43 + 17x + -17x Combine like terms: 17x + -17x = 0 10 + -13x = -43 + 0 10 + -13x = -43 Add '-10' to each side of the equation. 10 + -10 + -13x = -43 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = -43 + -10 -13x = -43 + -10 Combine like terms: -43 + -10 = -53 -13x = -53 Divide each side by '-13'. x = 4.076923077 Simplifying x = 4.076923077
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