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Simplifying 7(x + 4) + -3(1 + x) = 19 Reorder the terms: 7(4 + x) + -3(1 + x) = 19 (4 * 7 + x * 7) + -3(1 + x) = 19 (28 + 7x) + -3(1 + x) = 19 28 + 7x + (1 * -3 + x * -3) = 19 28 + 7x + (-3 + -3x) = 19 Reorder the terms: 28 + -3 + 7x + -3x = 19 Combine like terms: 28 + -3 = 25 25 + 7x + -3x = 19 Combine like terms: 7x + -3x = 4x 25 + 4x = 19 Solving 25 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 19 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 19 + -25 4x = 19 + -25 Combine like terms: 19 + -25 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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