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Simplifying -3x + -6x = 4(x + -7) + -6(5 + 7x) Combine like terms: -3x + -6x = -9x -9x = 4(x + -7) + -6(5 + 7x) Reorder the terms: -9x = 4(-7 + x) + -6(5 + 7x) -9x = (-7 * 4 + x * 4) + -6(5 + 7x) -9x = (-28 + 4x) + -6(5 + 7x) -9x = -28 + 4x + (5 * -6 + 7x * -6) -9x = -28 + 4x + (-30 + -42x) Reorder the terms: -9x = -28 + -30 + 4x + -42x Combine like terms: -28 + -30 = -58 -9x = -58 + 4x + -42x Combine like terms: 4x + -42x = -38x -9x = -58 + -38x Solving -9x = -58 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -9x + 38x = -58 + -38x + 38x Combine like terms: -9x + 38x = 29x 29x = -58 + -38x + 38x Combine like terms: -38x + 38x = 0 29x = -58 + 0 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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