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Simplifying 7x + -15 = 4 + 3(x + -1) Reorder the terms: -15 + 7x = 4 + 3(x + -1) Reorder the terms: -15 + 7x = 4 + 3(-1 + x) -15 + 7x = 4 + (-1 * 3 + x * 3) -15 + 7x = 4 + (-3 + 3x) Combine like terms: 4 + -3 = 1 -15 + 7x = 1 + 3x Solving -15 + 7x = 1 + 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 + 7x + -3x = 1 + 3x + -3x Combine like terms: 7x + -3x = 4x -15 + 4x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 4x = 1 + 0 -15 + 4x = 1 Add '15' to each side of the equation. -15 + 15 + 4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 1 + 15 4x = 1 + 15 Combine like terms: 1 + 15 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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