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Simplifying 4(10x + 19) = 4(4x + 7) Reorder the terms: 4(19 + 10x) = 4(4x + 7) (19 * 4 + 10x * 4) = 4(4x + 7) (76 + 40x) = 4(4x + 7) Reorder the terms: 76 + 40x = 4(7 + 4x) 76 + 40x = (7 * 4 + 4x * 4) 76 + 40x = (28 + 16x) Solving 76 + 40x = 28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 76 + 40x + -16x = 28 + 16x + -16x Combine like terms: 40x + -16x = 24x 76 + 24x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 76 + 24x = 28 + 0 76 + 24x = 28 Add '-76' to each side of the equation. 76 + -76 + 24x = 28 + -76 Combine like terms: 76 + -76 = 0 0 + 24x = 28 + -76 24x = 28 + -76 Combine like terms: 28 + -76 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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