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Simplifying 3x + -4 = 4(3x + -19) Reorder the terms: -4 + 3x = 4(3x + -19) Reorder the terms: -4 + 3x = 4(-19 + 3x) -4 + 3x = (-19 * 4 + 3x * 4) -4 + 3x = (-76 + 12x) Solving -4 + 3x = -76 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 3x + -12x = -76 + 12x + -12x Combine like terms: 3x + -12x = -9x -4 + -9x = -76 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -9x = -76 + 0 -4 + -9x = -76 Add '4' to each side of the equation. -4 + 4 + -9x = -76 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -76 + 4 -9x = -76 + 4 Combine like terms: -76 + 4 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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