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Simplifying 3x + 13 = 10x + -2 Reorder the terms: 13 + 3x = 10x + -2 Reorder the terms: 13 + 3x = -2 + 10x Solving 13 + 3x = -2 + 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. 13 + 3x + -10x = -2 + 10x + -10x Combine like terms: 3x + -10x = -7x 13 + -7x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + -7x = -2 + 0 13 + -7x = -2 Add '-13' to each side of the equation. 13 + -13 + -7x = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -2 + -13 -7x = -2 + -13 Combine like terms: -2 + -13 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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