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Simplifying 7(x + -4) + -2x = 19 + 3(x + 3) Reorder the terms: 7(-4 + x) + -2x = 19 + 3(x + 3) (-4 * 7 + x * 7) + -2x = 19 + 3(x + 3) (-28 + 7x) + -2x = 19 + 3(x + 3) Combine like terms: 7x + -2x = 5x -28 + 5x = 19 + 3(x + 3) Reorder the terms: -28 + 5x = 19 + 3(3 + x) -28 + 5x = 19 + (3 * 3 + x * 3) -28 + 5x = 19 + (9 + 3x) Combine like terms: 19 + 9 = 28 -28 + 5x = 28 + 3x Solving -28 + 5x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 5x + -3x = 28 + 3x + -3x Combine like terms: 5x + -3x = 2x -28 + 2x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 2x = 28 + 0 -28 + 2x = 28 Add '28' to each side of the equation. -28 + 28 + 2x = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 28 + 28 2x = 28 + 28 Combine like terms: 28 + 28 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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