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Simplifying 8(x + 1) + -3(2x + 5) = 2(x + -1.5) Reorder the terms: 8(1 + x) + -3(2x + 5) = 2(x + -1.5) (1 * 8 + x * 8) + -3(2x + 5) = 2(x + -1.5) (8 + 8x) + -3(2x + 5) = 2(x + -1.5) Reorder the terms: 8 + 8x + -3(5 + 2x) = 2(x + -1.5) 8 + 8x + (5 * -3 + 2x * -3) = 2(x + -1.5) 8 + 8x + (-15 + -6x) = 2(x + -1.5) Reorder the terms: 8 + -15 + 8x + -6x = 2(x + -1.5) Combine like terms: 8 + -15 = -7 -7 + 8x + -6x = 2(x + -1.5) Combine like terms: 8x + -6x = 2x -7 + 2x = 2(x + -1.5) Reorder the terms: -7 + 2x = 2(-1.5 + x) -7 + 2x = (-1.5 * 2 + x * 2) -7 + 2x = (-3 + 2x) Add '-2x' to each side of the equation. -7 + 2x + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 0 = -3 + 2x + -2x -7 = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 = -3 + 0 -7 = -3 Solving -7 = -3 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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