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Simplifying -7(x + 5) + -2(2x + -3) = -12(x + 3) + 3 Reorder the terms: -7(5 + x) + -2(2x + -3) = -12(x + 3) + 3 (5 * -7 + x * -7) + -2(2x + -3) = -12(x + 3) + 3 (-35 + -7x) + -2(2x + -3) = -12(x + 3) + 3 Reorder the terms: -35 + -7x + -2(-3 + 2x) = -12(x + 3) + 3 -35 + -7x + (-3 * -2 + 2x * -2) = -12(x + 3) + 3 -35 + -7x + (6 + -4x) = -12(x + 3) + 3 Reorder the terms: -35 + 6 + -7x + -4x = -12(x + 3) + 3 Combine like terms: -35 + 6 = -29 -29 + -7x + -4x = -12(x + 3) + 3 Combine like terms: -7x + -4x = -11x -29 + -11x = -12(x + 3) + 3 Reorder the terms: -29 + -11x = -12(3 + x) + 3 -29 + -11x = (3 * -12 + x * -12) + 3 -29 + -11x = (-36 + -12x) + 3 Reorder the terms: -29 + -11x = -36 + 3 + -12x Combine like terms: -36 + 3 = -33 -29 + -11x = -33 + -12x Solving -29 + -11x = -33 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -29 + -11x + 12x = -33 + -12x + 12x Combine like terms: -11x + 12x = 1x -29 + 1x = -33 + -12x + 12x Combine like terms: -12x + 12x = 0 -29 + 1x = -33 + 0 -29 + 1x = -33 Add '29' to each side of the equation. -29 + 29 + 1x = -33 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = -33 + 29 1x = -33 + 29 Combine like terms: -33 + 29 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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