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Simplifying 7(x + -3) + 1 = 3(x + 4) Reorder the terms: 7(-3 + x) + 1 = 3(x + 4) (-3 * 7 + x * 7) + 1 = 3(x + 4) (-21 + 7x) + 1 = 3(x + 4) Reorder the terms: -21 + 1 + 7x = 3(x + 4) Combine like terms: -21 + 1 = -20 -20 + 7x = 3(x + 4) Reorder the terms: -20 + 7x = 3(4 + x) -20 + 7x = (4 * 3 + x * 3) -20 + 7x = (12 + 3x) Solving -20 + 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. -20 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x -20 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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