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Simplifying -7(6x + 1) + -6 = -7 + -6(2 + 8x) Reorder the terms: -7(1 + 6x) + -6 = -7 + -6(2 + 8x) (1 * -7 + 6x * -7) + -6 = -7 + -6(2 + 8x) (-7 + -42x) + -6 = -7 + -6(2 + 8x) Reorder the terms: -7 + -6 + -42x = -7 + -6(2 + 8x) Combine like terms: -7 + -6 = -13 -13 + -42x = -7 + -6(2 + 8x) -13 + -42x = -7 + (2 * -6 + 8x * -6) -13 + -42x = -7 + (-12 + -48x) Combine like terms: -7 + -12 = -19 -13 + -42x = -19 + -48x Solving -13 + -42x = -19 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -13 + -42x + 48x = -19 + -48x + 48x Combine like terms: -42x + 48x = 6x -13 + 6x = -19 + -48x + 48x Combine like terms: -48x + 48x = 0 -13 + 6x = -19 + 0 -13 + 6x = -19 Add '13' to each side of the equation. -13 + 13 + 6x = -19 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = -19 + 13 6x = -19 + 13 Combine like terms: -19 + 13 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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