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Simplifying 33 + -7x = -4(-7x + 1) + 2x Reorder the terms: 33 + -7x = -4(1 + -7x) + 2x 33 + -7x = (1 * -4 + -7x * -4) + 2x 33 + -7x = (-4 + 28x) + 2x Combine like terms: 28x + 2x = 30x 33 + -7x = -4 + 30x Solving 33 + -7x = -4 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 33 + -7x + -30x = -4 + 30x + -30x Combine like terms: -7x + -30x = -37x 33 + -37x = -4 + 30x + -30x Combine like terms: 30x + -30x = 0 33 + -37x = -4 + 0 33 + -37x = -4 Add '-33' to each side of the equation. 33 + -33 + -37x = -4 + -33 Combine like terms: 33 + -33 = 0 0 + -37x = -4 + -33 -37x = -4 + -33 Combine like terms: -4 + -33 = -37 -37x = -37 Divide each side by '-37'. x = 1 Simplifying x = 1
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