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Simplifying 4x + -6x + 53 = 3x + 38 Reorder the terms: 53 + 4x + -6x = 3x + 38 Combine like terms: 4x + -6x = -2x 53 + -2x = 3x + 38 Reorder the terms: 53 + -2x = 38 + 3x Solving 53 + -2x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 53 + -2x + -3x = 38 + 3x + -3x Combine like terms: -2x + -3x = -5x 53 + -5x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 53 + -5x = 38 + 0 53 + -5x = 38 Add '-53' to each side of the equation. 53 + -53 + -5x = 38 + -53 Combine like terms: 53 + -53 = 0 0 + -5x = 38 + -53 -5x = 38 + -53 Combine like terms: 38 + -53 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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