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Simplifying 3x + -17 = 10x + -53 Reorder the terms: -17 + 3x = 10x + -53 Reorder the terms: -17 + 3x = -53 + 10x Solving -17 + 3x = -53 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 3x + -10x = -53 + 10x + -10x Combine like terms: 3x + -10x = -7x -17 + -7x = -53 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -7x = -53 + 0 -17 + -7x = -53 Add '17' to each side of the equation. -17 + 17 + -7x = -53 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = -53 + 17 -7x = -53 + 17 Combine like terms: -53 + 17 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143
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