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Simplifying 4(x + -5) + -5 = 6x + 33 Reorder the terms: 4(-5 + x) + -5 = 6x + 33 (-5 * 4 + x * 4) + -5 = 6x + 33 (-20 + 4x) + -5 = 6x + 33 Reorder the terms: -20 + -5 + 4x = 6x + 33 Combine like terms: -20 + -5 = -25 -25 + 4x = 6x + 33 Reorder the terms: -25 + 4x = 33 + 6x Solving -25 + 4x = 33 + 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. -25 + 4x + -6x = 33 + 6x + -6x Combine like terms: 4x + -6x = -2x -25 + -2x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -2x = 33 + 0 -25 + -2x = 33 Add '25' to each side of the equation. -25 + 25 + -2x = 33 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 33 + 25 -2x = 33 + 25 Combine like terms: 33 + 25 = 58 -2x = 58 Divide each side by '-2'. x = -29 Simplifying x = -29
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