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