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Simplifying 5(x + 3) + -1(x + 4) = 53 Reorder the terms: 5(3 + x) + -1(x + 4) = 53 (3 * 5 + x * 5) + -1(x + 4) = 53 (15 + 5x) + -1(x + 4) = 53 Reorder the terms: 15 + 5x + -1(4 + x) = 53 15 + 5x + (4 * -1 + x * -1) = 53 15 + 5x + (-4 + -1x) = 53 Reorder the terms: 15 + -4 + 5x + -1x = 53 Combine like terms: 15 + -4 = 11 11 + 5x + -1x = 53 Combine like terms: 5x + -1x = 4x 11 + 4x = 53 Solving 11 + 4x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 53 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 53 + -11 4x = 53 + -11 Combine like terms: 53 + -11 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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