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Simplifying 3(-4x + -7) + 6x + -4 = -2x + -3(x + 4) Reorder the terms: 3(-7 + -4x) + 6x + -4 = -2x + -3(x + 4) (-7 * 3 + -4x * 3) + 6x + -4 = -2x + -3(x + 4) (-21 + -12x) + 6x + -4 = -2x + -3(x + 4) Reorder the terms: -21 + -4 + -12x + 6x = -2x + -3(x + 4) Combine like terms: -21 + -4 = -25 -25 + -12x + 6x = -2x + -3(x + 4) Combine like terms: -12x + 6x = -6x -25 + -6x = -2x + -3(x + 4) Reorder the terms: -25 + -6x = -2x + -3(4 + x) -25 + -6x = -2x + (4 * -3 + x * -3) -25 + -6x = -2x + (-12 + -3x) Reorder the terms: -25 + -6x = -12 + -2x + -3x Combine like terms: -2x + -3x = -5x -25 + -6x = -12 + -5x Solving -25 + -6x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -25 + -6x + 5x = -12 + -5x + 5x Combine like terms: -6x + 5x = -1x -25 + -1x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + -1x = -12 + 0 -25 + -1x = -12 Add '25' to each side of the equation. -25 + 25 + -1x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = -12 + 25 -1x = -12 + 25 Combine like terms: -12 + 25 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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