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Simplifying 5(x + 4) + -2(2x + 2) = 19 Reorder the terms: 5(4 + x) + -2(2x + 2) = 19 (4 * 5 + x * 5) + -2(2x + 2) = 19 (20 + 5x) + -2(2x + 2) = 19 Reorder the terms: 20 + 5x + -2(2 + 2x) = 19 20 + 5x + (2 * -2 + 2x * -2) = 19 20 + 5x + (-4 + -4x) = 19 Reorder the terms: 20 + -4 + 5x + -4x = 19 Combine like terms: 20 + -4 = 16 16 + 5x + -4x = 19 Combine like terms: 5x + -4x = 1x 16 + 1x = 19 Solving 16 + 1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 19 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 19 + -16 1x = 19 + -16 Combine like terms: 19 + -16 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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