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Simplifying 19(x + 4) = 4(5x + -3) Reorder the terms: 19(4 + x) = 4(5x + -3) (4 * 19 + x * 19) = 4(5x + -3) (76 + 19x) = 4(5x + -3) Reorder the terms: 76 + 19x = 4(-3 + 5x) 76 + 19x = (-3 * 4 + 5x * 4) 76 + 19x = (-12 + 20x) Solving 76 + 19x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 76 + 19x + -20x = -12 + 20x + -20x Combine like terms: 19x + -20x = -1x 76 + -1x = -12 + 20x + -20x Combine like terms: 20x + -20x = 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 = -88 -1x = -88 Divide each side by '-1'. x = 88 Simplifying x = 88
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