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Simplifying 7x + -15 = 10x + 7 Reorder the terms: -15 + 7x = 10x + 7 Reorder the terms: -15 + 7x = 7 + 10x Solving -15 + 7x = 7 + 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. -15 + 7x + -10x = 7 + 10x + -10x Combine like terms: 7x + -10x = -3x -15 + -3x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -3x = 7 + 0 -15 + -3x = 7 Add '15' to each side of the equation. -15 + 15 + -3x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 7 + 15 -3x = 7 + 15 Combine like terms: 7 + 15 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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