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Simplifying 6x + -1(5x + 3) = 3x + -33 Reorder the terms: 6x + -1(3 + 5x) = 3x + -33 6x + (3 * -1 + 5x * -1) = 3x + -33 6x + (-3 + -5x) = 3x + -33 Reorder the terms: -3 + 6x + -5x = 3x + -33 Combine like terms: 6x + -5x = 1x -3 + 1x = 3x + -33 Reorder the terms: -3 + 1x = -33 + 3x Solving -3 + 1x = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 1x + -3x = -33 + 3x + -3x Combine like terms: 1x + -3x = -2x -3 + -2x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -2x = -33 + 0 -3 + -2x = -33 Add '3' to each side of the equation. -3 + 3 + -2x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -33 + 3 -2x = -33 + 3 Combine like terms: -33 + 3 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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