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Simplifying 3x + 15 = x + 7 + -4x Reorder the terms: 15 + 3x = x + 7 + -4x Reorder the terms: 15 + 3x = 7 + x + -4x Combine like terms: x + -4x = -3x 15 + 3x = 7 + -3x Solving 15 + 3x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 3x + 3x = 7 + -3x + 3x Combine like terms: 3x + 3x = 6x 15 + 6x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 6x = 7 + 0 15 + 6x = 7 Add '-15' to each side of the equation. 15 + -15 + 6x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 7 + -15 6x = 7 + -15 Combine like terms: 7 + -15 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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