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Simplifying 5(-3x + -2) + -1(x + -3) = -4(4x + 5) + 23 Reorder the terms: 5(-2 + -3x) + -1(x + -3) = -4(4x + 5) + 23 (-2 * 5 + -3x * 5) + -1(x + -3) = -4(4x + 5) + 23 (-10 + -15x) + -1(x + -3) = -4(4x + 5) + 23 Reorder the terms: -10 + -15x + -1(-3 + x) = -4(4x + 5) + 23 -10 + -15x + (-3 * -1 + x * -1) = -4(4x + 5) + 23 -10 + -15x + (3 + -1x) = -4(4x + 5) + 23 Reorder the terms: -10 + 3 + -15x + -1x = -4(4x + 5) + 23 Combine like terms: -10 + 3 = -7 -7 + -15x + -1x = -4(4x + 5) + 23 Combine like terms: -15x + -1x = -16x -7 + -16x = -4(4x + 5) + 23 Reorder the terms: -7 + -16x = -4(5 + 4x) + 23 -7 + -16x = (5 * -4 + 4x * -4) + 23 -7 + -16x = (-20 + -16x) + 23 Reorder the terms: -7 + -16x = -20 + 23 + -16x Combine like terms: -20 + 23 = 3 -7 + -16x = 3 + -16x Add '16x' to each side of the equation. -7 + -16x + 16x = 3 + -16x + 16x Combine like terms: -16x + 16x = 0 -7 + 0 = 3 + -16x + 16x -7 = 3 + -16x + 16x Combine like terms: -16x + 16x = 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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