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Simplifying -3x + -1(x + -3) = -33 + -4(5 + -1x) Reorder the terms: -3x + -1(-3 + x) = -33 + -4(5 + -1x) -3x + (-3 * -1 + x * -1) = -33 + -4(5 + -1x) -3x + (3 + -1x) = -33 + -4(5 + -1x) Reorder the terms: 3 + -3x + -1x = -33 + -4(5 + -1x) Combine like terms: -3x + -1x = -4x 3 + -4x = -33 + -4(5 + -1x) 3 + -4x = -33 + (5 * -4 + -1x * -4) 3 + -4x = -33 + (-20 + 4x) Combine like terms: -33 + -20 = -53 3 + -4x = -53 + 4x Solving 3 + -4x = -53 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -4x + -4x = -53 + 4x + -4x Combine like terms: -4x + -4x = -8x 3 + -8x = -53 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -8x = -53 + 0 3 + -8x = -53 Add '-3' to each side of the equation. 3 + -3 + -8x = -53 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -53 + -3 -8x = -53 + -3 Combine like terms: -53 + -3 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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