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Simplifying 4(x + -5) = -2(x + 19) Reorder the terms: 4(-5 + x) = -2(x + 19) (-5 * 4 + x * 4) = -2(x + 19) (-20 + 4x) = -2(x + 19) Reorder the terms: -20 + 4x = -2(19 + x) -20 + 4x = (19 * -2 + x * -2) -20 + 4x = (-38 + -2x) Solving -20 + 4x = -38 + -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. -20 + 4x + 2x = -38 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = -38 + 0 -20 + 6x = -38 Add '20' to each side of the equation. -20 + 20 + 6x = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -38 + 20 6x = -38 + 20 Combine like terms: -38 + 20 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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