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Simplifying 3(x + 5) + 4x = 8(x + -2) + -1x Reorder the terms: 3(5 + x) + 4x = 8(x + -2) + -1x (5 * 3 + x * 3) + 4x = 8(x + -2) + -1x (15 + 3x) + 4x = 8(x + -2) + -1x Combine like terms: 3x + 4x = 7x 15 + 7x = 8(x + -2) + -1x Reorder the terms: 15 + 7x = 8(-2 + x) + -1x 15 + 7x = (-2 * 8 + x * 8) + -1x 15 + 7x = (-16 + 8x) + -1x Combine like terms: 8x + -1x = 7x 15 + 7x = -16 + 7x Add '-7x' to each side of the equation. 15 + 7x + -7x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 0 = -16 + 7x + -7x 15 = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 15 = -16 + 0 15 = -16 Solving 15 = -16 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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