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Simplifying 2x + -7(3x + 1) = (5 + -3x) Reorder the terms: 2x + -7(1 + 3x) = (5 + -3x) 2x + (1 * -7 + 3x * -7) = (5 + -3x) 2x + (-7 + -21x) = (5 + -3x) Reorder the terms: -7 + 2x + -21x = (5 + -3x) Combine like terms: 2x + -21x = -19x -7 + -19x = (5 + -3x) Remove parenthesis around (5 + -3x) -7 + -19x = 5 + -3x Solving -7 + -19x = 5 + -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. -7 + -19x + 3x = 5 + -3x + 3x Combine like terms: -19x + 3x = -16x -7 + -16x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + -16x = 5 + 0 -7 + -16x = 5 Add '7' to each side of the equation. -7 + 7 + -16x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = 5 + 7 -16x = 5 + 7 Combine like terms: 5 + 7 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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