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Simplifying (x + -1) + 2(x + -2) + 3(x + 4) = 6(x + -1) + 10 Reorder the terms: (-1 + x) + 2(x + -2) + 3(x + 4) = 6(x + -1) + 10 Remove parenthesis around (-1 + x) -1 + x + 2(x + -2) + 3(x + 4) = 6(x + -1) + 10 Reorder the terms: -1 + x + 2(-2 + x) + 3(x + 4) = 6(x + -1) + 10 -1 + x + (-2 * 2 + x * 2) + 3(x + 4) = 6(x + -1) + 10 -1 + x + (-4 + 2x) + 3(x + 4) = 6(x + -1) + 10 Reorder the terms: -1 + x + -4 + 2x + 3(4 + x) = 6(x + -1) + 10 -1 + x + -4 + 2x + (4 * 3 + x * 3) = 6(x + -1) + 10 -1 + x + -4 + 2x + (12 + 3x) = 6(x + -1) + 10 Reorder the terms: -1 + -4 + 12 + x + 2x + 3x = 6(x + -1) + 10 Combine like terms: -1 + -4 = -5 -5 + 12 + x + 2x + 3x = 6(x + -1) + 10 Combine like terms: -5 + 12 = 7 7 + x + 2x + 3x = 6(x + -1) + 10 Combine like terms: x + 2x = 3x 7 + 3x + 3x = 6(x + -1) + 10 Combine like terms: 3x + 3x = 6x 7 + 6x = 6(x + -1) + 10 Reorder the terms: 7 + 6x = 6(-1 + x) + 10 7 + 6x = (-1 * 6 + x * 6) + 10 7 + 6x = (-6 + 6x) + 10 Reorder the terms: 7 + 6x = -6 + 10 + 6x Combine like terms: -6 + 10 = 4 7 + 6x = 4 + 6x Add '-6x' to each side of the equation. 7 + 6x + -6x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 0 = 4 + 6x + -6x 7 = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 7 = 4 + 0 7 = 4 Solving 7 = 4 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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