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Simplifying 7(x + -4) + x = -2(x + -9) + 4 Reorder the terms: 7(-4 + x) + x = -2(x + -9) + 4 (-4 * 7 + x * 7) + x = -2(x + -9) + 4 (-28 + 7x) + x = -2(x + -9) + 4 Combine like terms: 7x + x = 8x -28 + 8x = -2(x + -9) + 4 Reorder the terms: -28 + 8x = -2(-9 + x) + 4 -28 + 8x = (-9 * -2 + x * -2) + 4 -28 + 8x = (18 + -2x) + 4 Reorder the terms: -28 + 8x = 18 + 4 + -2x Combine like terms: 18 + 4 = 22 -28 + 8x = 22 + -2x Solving -28 + 8x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -28 + 8x + 2x = 22 + -2x + 2x Combine like terms: 8x + 2x = 10x -28 + 10x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 10x = 22 + 0 -28 + 10x = 22 Add '28' to each side of the equation. -28 + 28 + 10x = 22 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 22 + 28 10x = 22 + 28 Combine like terms: 22 + 28 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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