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Simplifying 4(x + 10) + -9(x + -6) = x + -4 + -6x Reorder the terms: 4(10 + x) + -9(x + -6) = x + -4 + -6x (10 * 4 + x * 4) + -9(x + -6) = x + -4 + -6x (40 + 4x) + -9(x + -6) = x + -4 + -6x Reorder the terms: 40 + 4x + -9(-6 + x) = x + -4 + -6x 40 + 4x + (-6 * -9 + x * -9) = x + -4 + -6x 40 + 4x + (54 + -9x) = x + -4 + -6x Reorder the terms: 40 + 54 + 4x + -9x = x + -4 + -6x Combine like terms: 40 + 54 = 94 94 + 4x + -9x = x + -4 + -6x Combine like terms: 4x + -9x = -5x 94 + -5x = x + -4 + -6x Reorder the terms: 94 + -5x = -4 + x + -6x Combine like terms: x + -6x = -5x 94 + -5x = -4 + -5x Add '5x' to each side of the equation. 94 + -5x + 5x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 94 + 0 = -4 + -5x + 5x 94 = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 94 = -4 + 0 94 = -4 Solving 94 = -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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