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Simplifying 4(x + -5) = 8 + -2(x + 19) Reorder the terms: 4(-5 + x) = 8 + -2(x + 19) (-5 * 4 + x * 4) = 8 + -2(x + 19) (-20 + 4x) = 8 + -2(x + 19) Reorder the terms: -20 + 4x = 8 + -2(19 + x) -20 + 4x = 8 + (19 * -2 + x * -2) -20 + 4x = 8 + (-38 + -2x) Combine like terms: 8 + -38 = -30 -20 + 4x = -30 + -2x Solving -20 + 4x = -30 + -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 = -30 + -2x + 2x Combine like terms: 4x + 2x = 6x -20 + 6x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 6x = -30 + 0 -20 + 6x = -30 Add '20' to each side of the equation. -20 + 20 + 6x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -30 + 20 6x = -30 + 20 Combine like terms: -30 + 20 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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