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Simplifying 19 + -1(2x + 3) = 2(x + 5) Reorder the terms: 19 + -1(3 + 2x) = 2(x + 5) 19 + (3 * -1 + 2x * -1) = 2(x + 5) 19 + (-3 + -2x) = 2(x + 5) Combine like terms: 19 + -3 = 16 16 + -2x = 2(x + 5) Reorder the terms: 16 + -2x = 2(5 + x) 16 + -2x = (5 * 2 + x * 2) 16 + -2x = (10 + 2x) Solving 16 + -2x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x 16 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -4x = 10 + 0 16 + -4x = 10 Add '-16' to each side of the equation. 16 + -16 + -4x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 10 + -16 -4x = 10 + -16 Combine like terms: 10 + -16 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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