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Simplifying 2(x + 1) + -7(x + 3) = 3(4x + 1) Reorder the terms: 2(1 + x) + -7(x + 3) = 3(4x + 1) (1 * 2 + x * 2) + -7(x + 3) = 3(4x + 1) (2 + 2x) + -7(x + 3) = 3(4x + 1) Reorder the terms: 2 + 2x + -7(3 + x) = 3(4x + 1) 2 + 2x + (3 * -7 + x * -7) = 3(4x + 1) 2 + 2x + (-21 + -7x) = 3(4x + 1) Reorder the terms: 2 + -21 + 2x + -7x = 3(4x + 1) Combine like terms: 2 + -21 = -19 -19 + 2x + -7x = 3(4x + 1) Combine like terms: 2x + -7x = -5x -19 + -5x = 3(4x + 1) Reorder the terms: -19 + -5x = 3(1 + 4x) -19 + -5x = (1 * 3 + 4x * 3) -19 + -5x = (3 + 12x) Solving -19 + -5x = 3 + 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. -19 + -5x + -12x = 3 + 12x + -12x Combine like terms: -5x + -12x = -17x -19 + -17x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + -17x = 3 + 0 -19 + -17x = 3 Add '19' to each side of the equation. -19 + 19 + -17x = 3 + 19 Combine like terms: -19 + 19 = 0 0 + -17x = 3 + 19 -17x = 3 + 19 Combine like terms: 3 + 19 = 22 -17x = 22 Divide each side by '-17'. x = -1.294117647 Simplifying x = -1.294117647
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