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Simplifying 7x + -10 = 3(x + -2) + 4(x + 1) Reorder the terms: -10 + 7x = 3(x + -2) + 4(x + 1) Reorder the terms: -10 + 7x = 3(-2 + x) + 4(x + 1) -10 + 7x = (-2 * 3 + x * 3) + 4(x + 1) -10 + 7x = (-6 + 3x) + 4(x + 1) Reorder the terms: -10 + 7x = -6 + 3x + 4(1 + x) -10 + 7x = -6 + 3x + (1 * 4 + x * 4) -10 + 7x = -6 + 3x + (4 + 4x) Reorder the terms: -10 + 7x = -6 + 4 + 3x + 4x Combine like terms: -6 + 4 = -2 -10 + 7x = -2 + 3x + 4x Combine like terms: 3x + 4x = 7x -10 + 7x = -2 + 7x Add '-7x' to each side of the equation. -10 + 7x + -7x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 0 = -2 + 7x + -7x -10 = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 = -2 + 0 -10 = -2 Solving -10 = -2 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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