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Simplifying 7(x + -4) = -9(x + 1) + 19 Reorder the terms: 7(-4 + x) = -9(x + 1) + 19 (-4 * 7 + x * 7) = -9(x + 1) + 19 (-28 + 7x) = -9(x + 1) + 19 Reorder the terms: -28 + 7x = -9(1 + x) + 19 -28 + 7x = (1 * -9 + x * -9) + 19 -28 + 7x = (-9 + -9x) + 19 Reorder the terms: -28 + 7x = -9 + 19 + -9x Combine like terms: -9 + 19 = 10 -28 + 7x = 10 + -9x Solving -28 + 7x = 10 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + 7x + 9x = 10 + -9x + 9x Combine like terms: 7x + 9x = 16x -28 + 16x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + 16x = 10 + 0 -28 + 16x = 10 Add '28' to each side of the equation. -28 + 28 + 16x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 16x = 10 + 28 16x = 10 + 28 Combine like terms: 10 + 28 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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