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Simplifying 7(x + -3) + 4 = 2x + 48 Reorder the terms: 7(-3 + x) + 4 = 2x + 48 (-3 * 7 + x * 7) + 4 = 2x + 48 (-21 + 7x) + 4 = 2x + 48 Reorder the terms: -21 + 4 + 7x = 2x + 48 Combine like terms: -21 + 4 = -17 -17 + 7x = 2x + 48 Reorder the terms: -17 + 7x = 48 + 2x Solving -17 + 7x = 48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 7x + -2x = 48 + 2x + -2x Combine like terms: 7x + -2x = 5x -17 + 5x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 5x = 48 + 0 -17 + 5x = 48 Add '17' to each side of the equation. -17 + 17 + 5x = 48 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 48 + 17 5x = 48 + 17 Combine like terms: 48 + 17 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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