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Simplifying 3(x + -5) + 7x = -3 + 4x Reorder the terms: 3(-5 + x) + 7x = -3 + 4x (-5 * 3 + x * 3) + 7x = -3 + 4x (-15 + 3x) + 7x = -3 + 4x Combine like terms: 3x + 7x = 10x -15 + 10x = -3 + 4x Solving -15 + 10x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 10x + -4x = -3 + 4x + -4x Combine like terms: 10x + -4x = 6x -15 + 6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 6x = -3 + 0 -15 + 6x = -3 Add '15' to each side of the equation. -15 + 15 + 6x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -3 + 15 6x = -3 + 15 Combine like terms: -3 + 15 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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