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Simplifying 3 + -7(2x + 3) + 6x = 5 + -1(12 + -3x) Reorder the terms: 3 + -7(3 + 2x) + 6x = 5 + -1(12 + -3x) 3 + (3 * -7 + 2x * -7) + 6x = 5 + -1(12 + -3x) 3 + (-21 + -14x) + 6x = 5 + -1(12 + -3x) Combine like terms: 3 + -21 = -18 -18 + -14x + 6x = 5 + -1(12 + -3x) Combine like terms: -14x + 6x = -8x -18 + -8x = 5 + -1(12 + -3x) -18 + -8x = 5 + (12 * -1 + -3x * -1) -18 + -8x = 5 + (-12 + 3x) Combine like terms: 5 + -12 = -7 -18 + -8x = -7 + 3x Solving -18 + -8x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -8x + -3x = -7 + 3x + -3x Combine like terms: -8x + -3x = -11x -18 + -11x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -11x = -7 + 0 -18 + -11x = -7 Add '18' to each side of the equation. -18 + 18 + -11x = -7 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = -7 + 18 -11x = -7 + 18 Combine like terms: -7 + 18 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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