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Simplifying 2(x + -8) = 4(2x + -19) Reorder the terms: 2(-8 + x) = 4(2x + -19) (-8 * 2 + x * 2) = 4(2x + -19) (-16 + 2x) = 4(2x + -19) Reorder the terms: -16 + 2x = 4(-19 + 2x) -16 + 2x = (-19 * 4 + 2x * 4) -16 + 2x = (-76 + 8x) Solving -16 + 2x = -76 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 2x + -8x = -76 + 8x + -8x Combine like terms: 2x + -8x = -6x -16 + -6x = -76 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -6x = -76 + 0 -16 + -6x = -76 Add '16' to each side of the equation. -16 + 16 + -6x = -76 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -76 + 16 -6x = -76 + 16 Combine like terms: -76 + 16 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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