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Simplifying 2x + -7(3x + 4) = 2x + -49 Reorder the terms: 2x + -7(4 + 3x) = 2x + -49 2x + (4 * -7 + 3x * -7) = 2x + -49 2x + (-28 + -21x) = 2x + -49 Reorder the terms: -28 + 2x + -21x = 2x + -49 Combine like terms: 2x + -21x = -19x -28 + -19x = 2x + -49 Reorder the terms: -28 + -19x = -49 + 2x Solving -28 + -19x = -49 + 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. -28 + -19x + -2x = -49 + 2x + -2x Combine like terms: -19x + -2x = -21x -28 + -21x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -21x = -49 + 0 -28 + -21x = -49 Add '28' to each side of the equation. -28 + 28 + -21x = -49 + 28 Combine like terms: -28 + 28 = 0 0 + -21x = -49 + 28 -21x = -49 + 28 Combine like terms: -49 + 28 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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