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Simplifying 3x + 4(x + -7) = 5 + -1(x + 1) Reorder the terms: 3x + 4(-7 + x) = 5 + -1(x + 1) 3x + (-7 * 4 + x * 4) = 5 + -1(x + 1) 3x + (-28 + 4x) = 5 + -1(x + 1) Reorder the terms: -28 + 3x + 4x = 5 + -1(x + 1) Combine like terms: 3x + 4x = 7x -28 + 7x = 5 + -1(x + 1) Reorder the terms: -28 + 7x = 5 + -1(1 + x) -28 + 7x = 5 + (1 * -1 + x * -1) -28 + 7x = 5 + (-1 + -1x) Combine like terms: 5 + -1 = 4 -28 + 7x = 4 + -1x Solving -28 + 7x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 7x + x = 4 + -1x + x Combine like terms: 7x + x = 8x -28 + 8x = 4 + -1x + x Combine like terms: -1x + x = 0 -28 + 8x = 4 + 0 -28 + 8x = 4 Add '28' to each side of the equation. -28 + 28 + 8x = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 4 + 28 8x = 4 + 28 Combine like terms: 4 + 28 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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