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Simplifying 7x + -8(x + 1) + -3 = 3(x + 4) + -4(x + 1) Reorder the terms: 7x + -8(1 + x) + -3 = 3(x + 4) + -4(x + 1) 7x + (1 * -8 + x * -8) + -3 = 3(x + 4) + -4(x + 1) 7x + (-8 + -8x) + -3 = 3(x + 4) + -4(x + 1) Reorder the terms: -8 + -3 + 7x + -8x = 3(x + 4) + -4(x + 1) Combine like terms: -8 + -3 = -11 -11 + 7x + -8x = 3(x + 4) + -4(x + 1) Combine like terms: 7x + -8x = -1x -11 + -1x = 3(x + 4) + -4(x + 1) Reorder the terms: -11 + -1x = 3(4 + x) + -4(x + 1) -11 + -1x = (4 * 3 + x * 3) + -4(x + 1) -11 + -1x = (12 + 3x) + -4(x + 1) Reorder the terms: -11 + -1x = 12 + 3x + -4(1 + x) -11 + -1x = 12 + 3x + (1 * -4 + x * -4) -11 + -1x = 12 + 3x + (-4 + -4x) Reorder the terms: -11 + -1x = 12 + -4 + 3x + -4x Combine like terms: 12 + -4 = 8 -11 + -1x = 8 + 3x + -4x Combine like terms: 3x + -4x = -1x -11 + -1x = 8 + -1x Add 'x' to each side of the equation. -11 + -1x + x = 8 + -1x + x Combine like terms: -1x + x = 0 -11 + 0 = 8 + -1x + x -11 = 8 + -1x + x Combine like terms: -1x + x = 0 -11 = 8 + 0 -11 = 8 Solving -11 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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