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Simplifying 4x + -1(3x + 7) = 3x + -49 Reorder the terms: 4x + -1(7 + 3x) = 3x + -49 4x + (7 * -1 + 3x * -1) = 3x + -49 4x + (-7 + -3x) = 3x + -49 Reorder the terms: -7 + 4x + -3x = 3x + -49 Combine like terms: 4x + -3x = 1x -7 + 1x = 3x + -49 Reorder the terms: -7 + 1x = -49 + 3x Solving -7 + 1x = -49 + 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 + 1x + -3x = -49 + 3x + -3x Combine like terms: 1x + -3x = -2x -7 + -2x = -49 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -2x = -49 + 0 -7 + -2x = -49 Add '7' to each side of the equation. -7 + 7 + -2x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -49 + 7 -2x = -49 + 7 Combine like terms: -49 + 7 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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