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Simplifying -8(x + 1) + 6x = 4(-1x + -7) + -6 Reorder the terms: -8(1 + x) + 6x = 4(-1x + -7) + -6 (1 * -8 + x * -8) + 6x = 4(-1x + -7) + -6 (-8 + -8x) + 6x = 4(-1x + -7) + -6 Combine like terms: -8x + 6x = -2x -8 + -2x = 4(-1x + -7) + -6 Reorder the terms: -8 + -2x = 4(-7 + -1x) + -6 -8 + -2x = (-7 * 4 + -1x * 4) + -6 -8 + -2x = (-28 + -4x) + -6 Reorder the terms: -8 + -2x = -28 + -6 + -4x Combine like terms: -28 + -6 = -34 -8 + -2x = -34 + -4x Solving -8 + -2x = -34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + -2x + 4x = -34 + -4x + 4x Combine like terms: -2x + 4x = 2x -8 + 2x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 2x = -34 + 0 -8 + 2x = -34 Add '8' to each side of the equation. -8 + 8 + 2x = -34 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -34 + 8 2x = -34 + 8 Combine like terms: -34 + 8 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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