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Simplifying 7x + -1(4x + 3) = 4(3x + 15) Reorder the terms: 7x + -1(3 + 4x) = 4(3x + 15) 7x + (3 * -1 + 4x * -1) = 4(3x + 15) 7x + (-3 + -4x) = 4(3x + 15) Reorder the terms: -3 + 7x + -4x = 4(3x + 15) Combine like terms: 7x + -4x = 3x -3 + 3x = 4(3x + 15) Reorder the terms: -3 + 3x = 4(15 + 3x) -3 + 3x = (15 * 4 + 3x * 4) -3 + 3x = (60 + 12x) Solving -3 + 3x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 3x + -12x = 60 + 12x + -12x Combine like terms: 3x + -12x = -9x -3 + -9x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -9x = 60 + 0 -3 + -9x = 60 Add '3' to each side of the equation. -3 + 3 + -9x = 60 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 60 + 3 -9x = 60 + 3 Combine like terms: 60 + 3 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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