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Simplifying 5 + 2x = 5(x + 1) + -4(x + -4) Reorder the terms: 5 + 2x = 5(1 + x) + -4(x + -4) 5 + 2x = (1 * 5 + x * 5) + -4(x + -4) 5 + 2x = (5 + 5x) + -4(x + -4) Reorder the terms: 5 + 2x = 5 + 5x + -4(-4 + x) 5 + 2x = 5 + 5x + (-4 * -4 + x * -4) 5 + 2x = 5 + 5x + (16 + -4x) Reorder the terms: 5 + 2x = 5 + 16 + 5x + -4x Combine like terms: 5 + 16 = 21 5 + 2x = 21 + 5x + -4x Combine like terms: 5x + -4x = 1x 5 + 2x = 21 + 1x Solving 5 + 2x = 21 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 21 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 21 + 0 5 + 1x = 21 Add '-5' to each side of the equation. 5 + -5 + 1x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 21 + -5 1x = 21 + -5 Combine like terms: 21 + -5 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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