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Simplifying -5(2x + 1) + 19 = -2(x + 5) Reorder the terms: -5(1 + 2x) + 19 = -2(x + 5) (1 * -5 + 2x * -5) + 19 = -2(x + 5) (-5 + -10x) + 19 = -2(x + 5) Reorder the terms: -5 + 19 + -10x = -2(x + 5) Combine like terms: -5 + 19 = 14 14 + -10x = -2(x + 5) Reorder the terms: 14 + -10x = -2(5 + x) 14 + -10x = (5 * -2 + x * -2) 14 + -10x = (-10 + -2x) Solving 14 + -10x = -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. 14 + -10x + 2x = -10 + -2x + 2x Combine like terms: -10x + 2x = -8x 14 + -8x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -8x = -10 + 0 14 + -8x = -10 Add '-14' to each side of the equation. 14 + -14 + -8x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -10 + -14 -8x = -10 + -14 Combine like terms: -10 + -14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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