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Simplifying -9x + -19(x + 4) = -3(9x + 4) Reorder the terms: -9x + -19(4 + x) = -3(9x + 4) -9x + (4 * -19 + x * -19) = -3(9x + 4) -9x + (-76 + -19x) = -3(9x + 4) Reorder the terms: -76 + -9x + -19x = -3(9x + 4) Combine like terms: -9x + -19x = -28x -76 + -28x = -3(9x + 4) Reorder the terms: -76 + -28x = -3(4 + 9x) -76 + -28x = (4 * -3 + 9x * -3) -76 + -28x = (-12 + -27x) Solving -76 + -28x = -12 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -76 + -28x + 27x = -12 + -27x + 27x Combine like terms: -28x + 27x = -1x -76 + -1x = -12 + -27x + 27x Combine like terms: -27x + 27x = 0 -76 + -1x = -12 + 0 -76 + -1x = -12 Add '76' to each side of the equation. -76 + 76 + -1x = -12 + 76 Combine like terms: -76 + 76 = 0 0 + -1x = -12 + 76 -1x = -12 + 76 Combine like terms: -12 + 76 = 64 -1x = 64 Divide each side by '-1'. x = -64 Simplifying x = -64
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