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Simplifying -2 + 3(2x + -7) = 7x + -4(x + -4) Reorder the terms: -2 + 3(-7 + 2x) = 7x + -4(x + -4) -2 + (-7 * 3 + 2x * 3) = 7x + -4(x + -4) -2 + (-21 + 6x) = 7x + -4(x + -4) Combine like terms: -2 + -21 = -23 -23 + 6x = 7x + -4(x + -4) Reorder the terms: -23 + 6x = 7x + -4(-4 + x) -23 + 6x = 7x + (-4 * -4 + x * -4) -23 + 6x = 7x + (16 + -4x) Reorder the terms: -23 + 6x = 16 + 7x + -4x Combine like terms: 7x + -4x = 3x -23 + 6x = 16 + 3x Solving -23 + 6x = 16 + 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. -23 + 6x + -3x = 16 + 3x + -3x Combine like terms: 6x + -3x = 3x -23 + 3x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 3x = 16 + 0 -23 + 3x = 16 Add '23' to each side of the equation. -23 + 23 + 3x = 16 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 16 + 23 3x = 16 + 23 Combine like terms: 16 + 23 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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