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Simplifying 6(3x + -2) = 7(x + -3) + -2 Reorder the terms: 6(-2 + 3x) = 7(x + -3) + -2 (-2 * 6 + 3x * 6) = 7(x + -3) + -2 (-12 + 18x) = 7(x + -3) + -2 Reorder the terms: -12 + 18x = 7(-3 + x) + -2 -12 + 18x = (-3 * 7 + x * 7) + -2 -12 + 18x = (-21 + 7x) + -2 Reorder the terms: -12 + 18x = -21 + -2 + 7x Combine like terms: -21 + -2 = -23 -12 + 18x = -23 + 7x Solving -12 + 18x = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 18x + -7x = -23 + 7x + -7x Combine like terms: 18x + -7x = 11x -12 + 11x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 11x = -23 + 0 -12 + 11x = -23 Add '12' to each side of the equation. -12 + 12 + 11x = -23 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = -23 + 12 11x = -23 + 12 Combine like terms: -23 + 12 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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