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Simplifying -3x + -6 + 2x + 4 = -2(x + 7) + -3(3x + -4) Reorder the terms: -6 + 4 + -3x + 2x = -2(x + 7) + -3(3x + -4) Combine like terms: -6 + 4 = -2 -2 + -3x + 2x = -2(x + 7) + -3(3x + -4) Combine like terms: -3x + 2x = -1x -2 + -1x = -2(x + 7) + -3(3x + -4) Reorder the terms: -2 + -1x = -2(7 + x) + -3(3x + -4) -2 + -1x = (7 * -2 + x * -2) + -3(3x + -4) -2 + -1x = (-14 + -2x) + -3(3x + -4) Reorder the terms: -2 + -1x = -14 + -2x + -3(-4 + 3x) -2 + -1x = -14 + -2x + (-4 * -3 + 3x * -3) -2 + -1x = -14 + -2x + (12 + -9x) Reorder the terms: -2 + -1x = -14 + 12 + -2x + -9x Combine like terms: -14 + 12 = -2 -2 + -1x = -2 + -2x + -9x Combine like terms: -2x + -9x = -11x -2 + -1x = -2 + -11x Add '2' to each side of the equation. -2 + 2 + -1x = -2 + 2 + -11x Combine like terms: -2 + 2 = 0 0 + -1x = -2 + 2 + -11x -1x = -2 + 2 + -11x Combine like terms: -2 + 2 = 0 -1x = 0 + -11x -1x = -11x Solving -1x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -1x + 11x = -11x + 11x Combine like terms: -1x + 11x = 10x 10x = -11x + 11x Combine like terms: -11x + 11x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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