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Simplifying 3(x + -3) + -7(2x + -8) = x + -1 Reorder the terms: 3(-3 + x) + -7(2x + -8) = x + -1 (-3 * 3 + x * 3) + -7(2x + -8) = x + -1 (-9 + 3x) + -7(2x + -8) = x + -1 Reorder the terms: -9 + 3x + -7(-8 + 2x) = x + -1 -9 + 3x + (-8 * -7 + 2x * -7) = x + -1 -9 + 3x + (56 + -14x) = x + -1 Reorder the terms: -9 + 56 + 3x + -14x = x + -1 Combine like terms: -9 + 56 = 47 47 + 3x + -14x = x + -1 Combine like terms: 3x + -14x = -11x 47 + -11x = x + -1 Reorder the terms: 47 + -11x = -1 + x Solving 47 + -11x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 47 + -11x + -1x = -1 + x + -1x Combine like terms: -11x + -1x = -12x 47 + -12x = -1 + x + -1x Combine like terms: x + -1x = 0 47 + -12x = -1 + 0 47 + -12x = -1 Add '-47' to each side of the equation. 47 + -47 + -12x = -1 + -47 Combine like terms: 47 + -47 = 0 0 + -12x = -1 + -47 -12x = -1 + -47 Combine like terms: -1 + -47 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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