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Simplifying 3(x + -7) + 4x = 5x + -1(x + -3) Reorder the terms: 3(-7 + x) + 4x = 5x + -1(x + -3) (-7 * 3 + x * 3) + 4x = 5x + -1(x + -3) (-21 + 3x) + 4x = 5x + -1(x + -3) Combine like terms: 3x + 4x = 7x -21 + 7x = 5x + -1(x + -3) Reorder the terms: -21 + 7x = 5x + -1(-3 + x) -21 + 7x = 5x + (-3 * -1 + x * -1) -21 + 7x = 5x + (3 + -1x) Reorder the terms: -21 + 7x = 3 + 5x + -1x Combine like terms: 5x + -1x = 4x -21 + 7x = 3 + 4x Solving -21 + 7x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 7x + -4x = 3 + 4x + -4x Combine like terms: 7x + -4x = 3x -21 + 3x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 3x = 3 + 0 -21 + 3x = 3 Add '21' to each side of the equation. -21 + 21 + 3x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 3 + 21 3x = 3 + 21 Combine like terms: 3 + 21 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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