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Simplifying 5x + 33 = 4(3x + -3) + 3 Reorder the terms: 33 + 5x = 4(3x + -3) + 3 Reorder the terms: 33 + 5x = 4(-3 + 3x) + 3 33 + 5x = (-3 * 4 + 3x * 4) + 3 33 + 5x = (-12 + 12x) + 3 Reorder the terms: 33 + 5x = -12 + 3 + 12x Combine like terms: -12 + 3 = -9 33 + 5x = -9 + 12x Solving 33 + 5x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 33 + 5x + -12x = -9 + 12x + -12x Combine like terms: 5x + -12x = -7x 33 + -7x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + -7x = -9 + 0 33 + -7x = -9 Add '-33' to each side of the equation. 33 + -33 + -7x = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = -9 + -33 -7x = -9 + -33 Combine like terms: -9 + -33 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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