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Simplifying 3x + 4(x + -1) + 9 = -3x + 5(2x + 1) + 4 Reorder the terms: 3x + 4(-1 + x) + 9 = -3x + 5(2x + 1) + 4 3x + (-1 * 4 + x * 4) + 9 = -3x + 5(2x + 1) + 4 3x + (-4 + 4x) + 9 = -3x + 5(2x + 1) + 4 Reorder the terms: -4 + 9 + 3x + 4x = -3x + 5(2x + 1) + 4 Combine like terms: -4 + 9 = 5 5 + 3x + 4x = -3x + 5(2x + 1) + 4 Combine like terms: 3x + 4x = 7x 5 + 7x = -3x + 5(2x + 1) + 4 Reorder the terms: 5 + 7x = -3x + 5(1 + 2x) + 4 5 + 7x = -3x + (1 * 5 + 2x * 5) + 4 5 + 7x = -3x + (5 + 10x) + 4 Reorder the terms: 5 + 7x = 5 + 4 + -3x + 10x Combine like terms: 5 + 4 = 9 5 + 7x = 9 + -3x + 10x Combine like terms: -3x + 10x = 7x 5 + 7x = 9 + 7x Add '-7x' to each side of the equation. 5 + 7x + -7x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 0 = 9 + 7x + -7x 5 = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 5 = 9 + 0 5 = 9 Solving 5 = 9 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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