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Simplifying 3(2x + -7) + 4x = -4 + -1(2x + -7) Reorder the terms: 3(-7 + 2x) + 4x = -4 + -1(2x + -7) (-7 * 3 + 2x * 3) + 4x = -4 + -1(2x + -7) (-21 + 6x) + 4x = -4 + -1(2x + -7) Combine like terms: 6x + 4x = 10x -21 + 10x = -4 + -1(2x + -7) Reorder the terms: -21 + 10x = -4 + -1(-7 + 2x) -21 + 10x = -4 + (-7 * -1 + 2x * -1) -21 + 10x = -4 + (7 + -2x) Combine like terms: -4 + 7 = 3 -21 + 10x = 3 + -2x Solving -21 + 10x = 3 + -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. -21 + 10x + 2x = 3 + -2x + 2x Combine like terms: 10x + 2x = 12x -21 + 12x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 12x = 3 + 0 -21 + 12x = 3 Add '21' to each side of the equation. -21 + 21 + 12x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 3 + 21 12x = 3 + 21 Combine like terms: 3 + 21 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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