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Simplifying -2(x + 5) = -2(3x + 4) + 19 Reorder the terms: -2(5 + x) = -2(3x + 4) + 19 (5 * -2 + x * -2) = -2(3x + 4) + 19 (-10 + -2x) = -2(3x + 4) + 19 Reorder the terms: -10 + -2x = -2(4 + 3x) + 19 -10 + -2x = (4 * -2 + 3x * -2) + 19 -10 + -2x = (-8 + -6x) + 19 Reorder the terms: -10 + -2x = -8 + 19 + -6x Combine like terms: -8 + 19 = 11 -10 + -2x = 11 + -6x Solving -10 + -2x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -2x + 6x = 11 + -6x + 6x Combine like terms: -2x + 6x = 4x -10 + 4x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 4x = 11 + 0 -10 + 4x = 11 Add '10' to each side of the equation. -10 + 10 + 4x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 11 + 10 4x = 11 + 10 Combine like terms: 11 + 10 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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