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Simplifying 4(x + 3) + 3(2x + -3) = 53 Reorder the terms: 4(3 + x) + 3(2x + -3) = 53 (3 * 4 + x * 4) + 3(2x + -3) = 53 (12 + 4x) + 3(2x + -3) = 53 Reorder the terms: 12 + 4x + 3(-3 + 2x) = 53 12 + 4x + (-3 * 3 + 2x * 3) = 53 12 + 4x + (-9 + 6x) = 53 Reorder the terms: 12 + -9 + 4x + 6x = 53 Combine like terms: 12 + -9 = 3 3 + 4x + 6x = 53 Combine like terms: 4x + 6x = 10x 3 + 10x = 53 Solving 3 + 10x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10x = 53 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 53 + -3 10x = 53 + -3 Combine like terms: 53 + -3 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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