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Simplifying 4(x + 2) + x + 1 = 2x + -3 + 3(x + -4) Reorder the terms: 4(2 + x) + x + 1 = 2x + -3 + 3(x + -4) (2 * 4 + x * 4) + x + 1 = 2x + -3 + 3(x + -4) (8 + 4x) + x + 1 = 2x + -3 + 3(x + -4) Reorder the terms: 8 + 1 + 4x + x = 2x + -3 + 3(x + -4) Combine like terms: 8 + 1 = 9 9 + 4x + x = 2x + -3 + 3(x + -4) Combine like terms: 4x + x = 5x 9 + 5x = 2x + -3 + 3(x + -4) Reorder the terms: 9 + 5x = 2x + -3 + 3(-4 + x) 9 + 5x = 2x + -3 + (-4 * 3 + x * 3) 9 + 5x = 2x + -3 + (-12 + 3x) Reorder the terms: 9 + 5x = -3 + -12 + 2x + 3x Combine like terms: -3 + -12 = -15 9 + 5x = -15 + 2x + 3x Combine like terms: 2x + 3x = 5x 9 + 5x = -15 + 5x Add '-5x' to each side of the equation. 9 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 0 = -15 + 5x + -5x 9 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 9 = -15 + 0 9 = -15 Solving 9 = -15 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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