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Simplifying 7x + -4 = -3 + 3(x + 5) Reorder the terms: -4 + 7x = -3 + 3(x + 5) Reorder the terms: -4 + 7x = -3 + 3(5 + x) -4 + 7x = -3 + (5 * 3 + x * 3) -4 + 7x = -3 + (15 + 3x) Combine like terms: -3 + 15 = 12 -4 + 7x = 12 + 3x Solving -4 + 7x = 12 + 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. -4 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x -4 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 4x = 12 + 0 -4 + 4x = 12 Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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