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Simplifying 19(x + 6) = 4(5x + -3) Reorder the terms: 19(6 + x) = 4(5x + -3) (6 * 19 + x * 19) = 4(5x + -3) (114 + 19x) = 4(5x + -3) Reorder the terms: 114 + 19x = 4(-3 + 5x) 114 + 19x = (-3 * 4 + 5x * 4) 114 + 19x = (-12 + 20x) Solving 114 + 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. 114 + 19x + -20x = -12 + 20x + -20x Combine like terms: 19x + -20x = -1x 114 + -1x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 114 + -1x = -12 + 0 114 + -1x = -12 Add '-114' to each side of the equation. 114 + -114 + -1x = -12 + -114 Combine like terms: 114 + -114 = 0 0 + -1x = -12 + -114 -1x = -12 + -114 Combine like terms: -12 + -114 = -126 -1x = -126 Divide each side by '-1'. x = 126 Simplifying x = 126
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