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Simplifying -7(x + 1) + -3 = -2(3x + 6) Reorder the terms: -7(1 + x) + -3 = -2(3x + 6) (1 * -7 + x * -7) + -3 = -2(3x + 6) (-7 + -7x) + -3 = -2(3x + 6) Reorder the terms: -7 + -3 + -7x = -2(3x + 6) Combine like terms: -7 + -3 = -10 -10 + -7x = -2(3x + 6) Reorder the terms: -10 + -7x = -2(6 + 3x) -10 + -7x = (6 * -2 + 3x * -2) -10 + -7x = (-12 + -6x) Solving -10 + -7x = -12 + -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. -10 + -7x + 6x = -12 + -6x + 6x Combine like terms: -7x + 6x = -1x -10 + -1x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -1x = -12 + 0 -10 + -1x = -12 Add '10' to each side of the equation. -10 + 10 + -1x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -12 + 10 -1x = -12 + 10 Combine like terms: -12 + 10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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