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Simplifying 2(x + -3) + 5(3 + -2x) = 4(2x + 1) + -16x Reorder the terms: 2(-3 + x) + 5(3 + -2x) = 4(2x + 1) + -16x (-3 * 2 + x * 2) + 5(3 + -2x) = 4(2x + 1) + -16x (-6 + 2x) + 5(3 + -2x) = 4(2x + 1) + -16x -6 + 2x + (3 * 5 + -2x * 5) = 4(2x + 1) + -16x -6 + 2x + (15 + -10x) = 4(2x + 1) + -16x Reorder the terms: -6 + 15 + 2x + -10x = 4(2x + 1) + -16x Combine like terms: -6 + 15 = 9 9 + 2x + -10x = 4(2x + 1) + -16x Combine like terms: 2x + -10x = -8x 9 + -8x = 4(2x + 1) + -16x Reorder the terms: 9 + -8x = 4(1 + 2x) + -16x 9 + -8x = (1 * 4 + 2x * 4) + -16x 9 + -8x = (4 + 8x) + -16x Combine like terms: 8x + -16x = -8x 9 + -8x = 4 + -8x Add '8x' to each side of the equation. 9 + -8x + 8x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 0 = 4 + -8x + 8x 9 = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 9 = 4 + 0 9 = 4 Solving 9 = 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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