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Simplifying 15x + 7 + -3x = 10x + -7 + 4x Reorder the terms: 7 + 15x + -3x = 10x + -7 + 4x Combine like terms: 15x + -3x = 12x 7 + 12x = 10x + -7 + 4x Reorder the terms: 7 + 12x = -7 + 10x + 4x Combine like terms: 10x + 4x = 14x 7 + 12x = -7 + 14x Solving 7 + 12x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 12x + -14x = -7 + 14x + -14x Combine like terms: 12x + -14x = -2x 7 + -2x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -2x = -7 + 0 7 + -2x = -7 Add '-7' to each side of the equation. 7 + -7 + -2x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -7 + -7 -2x = -7 + -7 Combine like terms: -7 + -7 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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