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Simplifying -33 + -3x = 3 + 7(x + -8) Reorder the terms: -33 + -3x = 3 + 7(-8 + x) -33 + -3x = 3 + (-8 * 7 + x * 7) -33 + -3x = 3 + (-56 + 7x) Combine like terms: 3 + -56 = -53 -33 + -3x = -53 + 7x Solving -33 + -3x = -53 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -33 + -3x + -7x = -53 + 7x + -7x Combine like terms: -3x + -7x = -10x -33 + -10x = -53 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + -10x = -53 + 0 -33 + -10x = -53 Add '33' to each side of the equation. -33 + 33 + -10x = -53 + 33 Combine like terms: -33 + 33 = 0 0 + -10x = -53 + 33 -10x = -53 + 33 Combine like terms: -53 + 33 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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