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Simplifying 3x + -7x + 53 = 2x + 35 Reorder the terms: 53 + 3x + -7x = 2x + 35 Combine like terms: 3x + -7x = -4x 53 + -4x = 2x + 35 Reorder the terms: 53 + -4x = 35 + 2x Solving 53 + -4x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 53 + -4x + -2x = 35 + 2x + -2x Combine like terms: -4x + -2x = -6x 53 + -6x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 53 + -6x = 35 + 0 53 + -6x = 35 Add '-53' to each side of the equation. 53 + -53 + -6x = 35 + -53 Combine like terms: 53 + -53 = 0 0 + -6x = 35 + -53 -6x = 35 + -53 Combine like terms: 35 + -53 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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