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Simplifying 4(x + 4) = -2(x + -19) Reorder the terms: 4(4 + x) = -2(x + -19) (4 * 4 + x * 4) = -2(x + -19) (16 + 4x) = -2(x + -19) Reorder the terms: 16 + 4x = -2(-19 + x) 16 + 4x = (-19 * -2 + x * -2) 16 + 4x = (38 + -2x) Solving 16 + 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. 16 + 4x + 2x = 38 + -2x + 2x Combine like terms: 4x + 2x = 6x 16 + 6x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 6x = 38 + 0 16 + 6x = 38 Add '-16' to each side of the equation. 16 + -16 + 6x = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 38 + -16 6x = 38 + -16 Combine like terms: 38 + -16 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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