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Simplifying 4x + 53 = 7x + 8 Reorder the terms: 53 + 4x = 7x + 8 Reorder the terms: 53 + 4x = 8 + 7x Solving 53 + 4x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 53 + 4x + -7x = 8 + 7x + -7x Combine like terms: 4x + -7x = -3x 53 + -3x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 53 + -3x = 8 + 0 53 + -3x = 8 Add '-53' to each side of the equation. 53 + -53 + -3x = 8 + -53 Combine like terms: 53 + -53 = 0 0 + -3x = 8 + -53 -3x = 8 + -53 Combine like terms: 8 + -53 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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